Datasets:

Menouar
/

LinearEquations

Dataset card Viewer Files Files and versions Community

Split (1)

train · 2M rows

Problem stringlengths 21 59	Solution stringlengths 161 284
Solve for y: -6y + 10 + 2 - 10y = -2 .	The equation is in the form of ay + b = dy + c where: a = -6 - 10 = -16 b = 10 + 2 = 12 d = 0 c = -2 The solution is y = (c - b)/(a - d) if a ≠ d -2 - 12 = -14 -16 - 0 = -16 y = -14 / -16 The fraction -14 / -16 = -7 / -8 = 7 / 8. The solution is y = 7 / 8.
Solve for y: -4y + 5 - 1y - 3 = -1y - 9 - 6y .	The equation is in the form of ay + b = dy + c where: a = -4 - 1 = -5 b = 5 - 3 = 2 d = -1 - 6 = -7 c = -9 The solution is y = (c - b)/(a - d) if a ≠ d -9 - 2 = -11 -5 - -7 = 2 y = -11 / 2 The solution is y = -11 / 2.
Solve for y: 8y + 3y = 8y + 10 .	The equation is in the form of ay + b = dy + c where: a = 8 + 3 = 11 b = 0 d = 8 c = 10 The solution is y = (c - b)/(a - d) if a ≠ d 10 - 0 = 10 11 - 8 = 3 y = 10 / 3 The solution is y = 10 / 3.
Solve for y: 3y + 4 + 7y = -8y .	The equation is in the form of ay + b = dy + c where: a = 3 + 7 = 10 b = 4 d = -8 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 4 = -4 10 - -8 = 18 y = -4 / 18 The fraction -4 / 18 = -2 / 9. The solution is y = -2 / 9.
Solve for y: 8 + 4y - 9y = -8y + 6 - 2 .	The equation is in the form of ay + b = dy + c where: a = 4 - 9 = -5 b = 8 d = -8 c = 6 - 2 = 4 The solution is y = (c - b)/(a - d) if a ≠ d 4 - 8 = -4 -5 - -8 = 3 y = -4 / 3 The solution is y = -4 / 3.
Solve for y: 10 = 7y - 1y - 1y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 10 d = 7 - 1 - 1 = 5 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 10 = -10 0 - 5 = -5 y = -10 / -5 The fraction -10 / -5 = 2. The solution is y = -2.
Solve for y: 2y = -6y - 1y .	The equation is in the form of ay + b = dy + c where: a = 2 b = 0 d = -6 - 1 = -7 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 0 = 0 2 - -7 = 9 y = 0 / 9 The fraction 0 / 9 = 0. The solution is y = 0.
Solve for y: 1y + 10y = -5 - 9 .	The equation is in the form of ay + b = dy + c where: a = 1 + 10 = 11 b = 0 d = 0 c = -5 - 9 = -14 The solution is y = (c - b)/(a - d) if a ≠ d -14 - 0 = -14 11 - 0 = 11 y = -14 / 11 The solution is y = -14 / 11.
Solve for y: -4 + 4 = -2 + 6 + 1y .	The equation is in the form of ay + b = dy + c where: a = 0 b = -4 + 4 = 0 d = 1 c = -2 + 6 = 4 The solution is y = (c - b)/(a - d) if a ≠ d 4 - 0 = 4 0 - 1 = -1 y = 4 / -1 The fraction 4 / -1 = -4. The solution is y = 4.
Solve for y: -7 - 9y = 8 .	The equation is in the form of ay + b = dy + c where: a = -9 b = -7 d = 0 c = 8 The solution is y = (c - b)/(a - d) if a ≠ d 8 - -7 = 15 -9 - 0 = -9 y = 15 / -9 The fraction 15 / -9 = 5 / -3. The solution is y = 5 / -3.
Solve for y: 5y - 9y - 9y = -3 - 6y .	The equation is in the form of ay + b = dy + c where: a = 5 - 9 - 9 = -13 b = 0 d = -6 c = -3 The solution is y = (c - b)/(a - d) if a ≠ d -3 - 0 = -3 -13 - -6 = -7 y = -3 / -7 The fraction -3 / -7 = 3 / 7. The solution is y = 3 / 7.
Solve for y: -6y + 3 - 6y + 4y = -8y + 1y .	The equation is in the form of ay + b = dy + c where: a = -6 - 6 + 4 = -8 b = 3 d = -8 + 1 = -7 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 3 = -3 -8 - -7 = -1 y = -3 / -1 The fraction -3 / -1 = 3. The solution is y = -3.
Solve for y: -10 = 8y - 7 + 6 .	The equation is in the form of ay + b = dy + c where: a = 0 b = -10 d = 8 c = -7 + 6 = -1 The solution is y = (c - b)/(a - d) if a ≠ d -1 - -10 = 9 0 - 8 = -8 y = 9 / -8 The solution is y = 9 / -8.
Solve for y: 4y - 8y = 2 - 9 .	The equation is in the form of ay + b = dy + c where: a = 4 - 8 = -4 b = 0 d = 0 c = 2 - 9 = -7 The solution is y = (c - b)/(a - d) if a ≠ d -7 - 0 = -7 -4 - 0 = -4 y = -7 / -4 The fraction -7 / -4 = 7 / 4. The solution is y = 7 / 4.
Solve for y: -8 + 1 = -8y - 8y + 1 .	The equation is in the form of ay + b = dy + c where: a = 0 b = -8 + 1 = -7 d = -8 - 8 = -16 c = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - -7 = 8 0 - -16 = 16 y = 8 / 16 The fraction 8 / 16 = 1 / 2. The solution is y = 1 / 2.
Solve for y: -9y + 3y = -1y - 9 - 9 .	The equation is in the form of ay + b = dy + c where: a = -9 + 3 = -6 b = 0 d = -1 c = -9 - 9 = -18 The solution is y = (c - b)/(a - d) if a ≠ d -18 - 0 = -18 -6 - -1 = -5 y = -18 / -5 The fraction -18 / -5 = 18 / 5. The solution is y = 18 / 5.
Solve for y: 7y - 5y = -6 + 1 .	The equation is in the form of ay + b = dy + c where: a = 7 - 5 = 2 b = 0 d = 0 c = -6 + 1 = -5 The solution is y = (c - b)/(a - d) if a ≠ d -5 - 0 = -5 2 - 0 = 2 y = -5 / 2 The solution is y = -5 / 2.
Solve for y: -10y + 4 = 9y - 3y .	The equation is in the form of ay + b = dy + c where: a = -10 b = 4 d = 9 - 3 = 6 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 4 = -4 -10 - 6 = -16 y = -4 / -16 The fraction -4 / -16 = -1 / -4 = 1 / 4. The solution is y = 1 / 4.
Solve for y: 10y - 5 + 5y + 7 = -6 + 3 .	The equation is in the form of ay + b = dy + c where: a = 10 + 5 = 15 b = -5 + 7 = 2 d = 0 c = -6 + 3 = -3 The solution is y = (c - b)/(a - d) if a ≠ d -3 - 2 = -5 15 - 0 = 15 y = -5 / 15 The fraction -5 / 15 = -1 / 3. The solution is y = -1 / 3.
Solve for y: -6y - 6y + 2 = 1 - 2y + 3y .	The equation is in the form of ay + b = dy + c where: a = -6 - 6 = -12 b = 2 d = -2 + 3 = 1 c = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - 2 = -1 -12 - 1 = -13 y = -1 / -13 The fraction -1 / -13 = 1 / 13. The solution is y = 1 / 13.
Solve for y: -6y + 5y + 5y = 6 .	The equation is in the form of ay + b = dy + c where: a = -6 + 5 + 5 = 4 b = 0 d = 0 c = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - 0 = 6 4 - 0 = 4 y = 6 / 4 The fraction 6 / 4 = 3 / 2. The solution is y = 3 / 2.
Solve for y: 5 = -5y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 5 d = -5 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 5 = -5 0 - -5 = 5 y = -5 / 5 The fraction -5 / 5 = -1. The solution is y = -1.
Solve for y: -5y - 4 = 1y + 6 .	The equation is in the form of ay + b = dy + c where: a = -5 b = -4 d = 1 c = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - -4 = 10 -5 - 1 = -6 y = 10 / -6 The fraction 10 / -6 = 5 / -3. The solution is y = 5 / -3.
Solve for y: -10 = 2y - 5y - 5y + 9 .	The equation is in the form of ay + b = dy + c where: a = 0 b = -10 d = 2 - 5 - 5 = -8 c = 9 The solution is y = (c - b)/(a - d) if a ≠ d 9 - -10 = 19 0 - -8 = 8 y = 19 / 8 The solution is y = 19 / 8.
Solve for y: -3 - 9y = -3y + 7y .	The equation is in the form of ay + b = dy + c where: a = -9 b = -3 d = -3 + 7 = 4 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -3 = 3 -9 - 4 = -13 y = 3 / -13 The solution is y = 3 / -13.
Solve for y: 10 = 2y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 10 d = 2 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 10 = -10 0 - 2 = -2 y = -10 / -2 The fraction -10 / -2 = 5. The solution is y = -5.
Solve for y: 8 - 2y + 2y = -10 .	The equation is in the form of ay + b = dy + c where: a = -2 + 2 = 0 b = 8 d = 0 c = -10 The solution is y = (c - b)/(a - d) if a ≠ d a = d, then it does not have solution.
Solve for y: 6y = -7y - 2 + 9 .	The equation is in the form of ay + b = dy + c where: a = 6 b = 0 d = -7 c = -2 + 9 = 7 The solution is y = (c - b)/(a - d) if a ≠ d 7 - 0 = 7 6 - -7 = 13 y = 7 / 13 The solution is y = 7 / 13.
Solve for y: 7 - 1y - 4y = 8 .	The equation is in the form of ay + b = dy + c where: a = -1 - 4 = -5 b = 7 d = 0 c = 8 The solution is y = (c - b)/(a - d) if a ≠ d 8 - 7 = 1 -5 - 0 = -5 y = 1 / -5 The solution is y = 1 / -5.
Solve for y: -1y = 9y - 7 .	The equation is in the form of ay + b = dy + c where: a = -1 b = 0 d = 9 c = -7 The solution is y = (c - b)/(a - d) if a ≠ d -7 - 0 = -7 -1 - 9 = -10 y = -7 / -10 The fraction -7 / -10 = 7 / 10. The solution is y = 7 / 10.
Solve for y: 1 + 3 = -2y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 1 + 3 = 4 d = -2 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 4 = -4 0 - -2 = 2 y = -4 / 2 The fraction -4 / 2 = -2. The solution is y = -2.
Solve for y: -6y - 2 = 9y - 1y .	The equation is in the form of ay + b = dy + c where: a = -6 b = -2 d = 9 - 1 = 8 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -2 = 2 -6 - 8 = -14 y = 2 / -14 The fraction 2 / -14 = 1 / -7. The solution is y = 1 / -7.
Solve for y: -10 + 8 - 3y = 3 + 3 .	The equation is in the form of ay + b = dy + c where: a = -3 b = -10 + 8 = -2 d = 0 c = 3 + 3 = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - -2 = 8 -3 - 0 = -3 y = 8 / -3 The solution is y = 8 / -3.
Solve for y: 10 - 6 = 2y + 2y + 2y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 10 - 6 = 4 d = 2 + 2 + 2 = 6 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 4 = -4 0 - 6 = -6 y = -4 / -6 The fraction -4 / -6 = -2 / -3 = 2 / 3. The solution is y = 2 / 3.
Solve for y: 10 = -4 + 2 + 9y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 10 d = 9 c = -4 + 2 = -2 The solution is y = (c - b)/(a - d) if a ≠ d -2 - 10 = -12 0 - 9 = -9 y = -12 / -9 The fraction -12 / -9 = -4 / -3 = 4 / 3. The solution is y = 4 / 3.
Solve for y: -10 = 10y + 3y .	The equation is in the form of ay + b = dy + c where: a = 0 b = -10 d = 10 + 3 = 13 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -10 = 10 0 - 13 = -13 y = 10 / -13 The solution is y = 10 / -13.
Solve for y: 8 - 8 = -9y - 9y + 9 .	The equation is in the form of ay + b = dy + c where: a = 0 b = 8 - 8 = 0 d = -9 - 9 = -18 c = 9 The solution is y = (c - b)/(a - d) if a ≠ d 9 - 0 = 9 0 - -18 = 18 y = 9 / 18 The fraction 9 / 18 = 1 / 2. The solution is y = 1 / 2.
Solve for y: -7y - 7y = 5 + 1y - 9y .	The equation is in the form of ay + b = dy + c where: a = -7 - 7 = -14 b = 0 d = 1 - 9 = -8 c = 5 The solution is y = (c - b)/(a - d) if a ≠ d 5 - 0 = 5 -14 - -8 = -6 y = 5 / -6 The solution is y = 5 / -6.
Solve for y: 10y - 7 = -5 - 5 .	The equation is in the form of ay + b = dy + c where: a = 10 b = -7 d = 0 c = -5 - 5 = -10 The solution is y = (c - b)/(a - d) if a ≠ d -10 - -7 = -3 10 - 0 = 10 y = -3 / 10 The solution is y = -3 / 10.
Solve for y: 4y - 3 - 2 = -6y - 8y .	The equation is in the form of ay + b = dy + c where: a = 4 b = -3 - 2 = -5 d = -6 - 8 = -14 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -5 = 5 4 - -14 = 18 y = 5 / 18 The solution is y = 5 / 18.
Solve for y: 9 - 6 = -8y - 10y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 9 - 6 = 3 d = -8 - 10 = -18 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 3 = -3 0 - -18 = 18 y = -3 / 18 The fraction -3 / 18 = -1 / 6. The solution is y = -1 / 6.
Solve for y: 5 - 3 = 7y + 10 + 7y - 10 .	The equation is in the form of ay + b = dy + c where: a = 0 b = 5 - 3 = 2 d = 7 + 7 = 14 c = 10 - 10 = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 2 = -2 0 - 14 = -14 y = -2 / -14 The fraction -2 / -14 = -1 / -7 = 1 / 7. The solution is y = 1 / 7.
Solve for y: 3 + 3 + 2y = 1 - 7 .	The equation is in the form of ay + b = dy + c where: a = 2 b = 3 + 3 = 6 d = 0 c = 1 - 7 = -6 The solution is y = (c - b)/(a - d) if a ≠ d -6 - 6 = -12 2 - 0 = 2 y = -12 / 2 The fraction -12 / 2 = -6. The solution is y = -6.
Solve for y: -9y + 5y = -6y + 8y .	The equation is in the form of ay + b = dy + c where: a = -9 + 5 = -4 b = 0 d = -6 + 8 = 2 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 0 = 0 -4 - 2 = -6 y = 0 / -6 The fraction 0 / -6 = 0. The solution is y = 0.
Solve for y: 4 + 4 = 3 + 6y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 4 + 4 = 8 d = 6 c = 3 The solution is y = (c - b)/(a - d) if a ≠ d 3 - 8 = -5 0 - 6 = -6 y = -5 / -6 The fraction -5 / -6 = 5 / 6. The solution is y = 5 / 6.
Solve for y: 4y + 10 + 8 = 8y + 10 .	The equation is in the form of ay + b = dy + c where: a = 4 b = 10 + 8 = 18 d = 8 c = 10 The solution is y = (c - b)/(a - d) if a ≠ d 10 - 18 = -8 4 - 8 = -4 y = -8 / -4 The fraction -8 / -4 = 2. The solution is y = -2.
Solve for y: -9 = 9y + 1 .	The equation is in the form of ay + b = dy + c where: a = 0 b = -9 d = 9 c = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - -9 = 10 0 - 9 = -9 y = 10 / -9 The solution is y = 10 / -9.
Solve for y: 1y + 1y + 9 - 2y = -6y - 4y .	The equation is in the form of ay + b = dy + c where: a = 1 + 1 - 2 = 0 b = 9 d = -6 - 4 = -10 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 9 = -9 0 - -10 = 10 y = -9 / 10 The solution is y = -9 / 10.
Solve for y: -10y + 6 = -8 - 8 .	The equation is in the form of ay + b = dy + c where: a = -10 b = 6 d = 0 c = -8 - 8 = -16 The solution is y = (c - b)/(a - d) if a ≠ d -16 - 6 = -22 -10 - 0 = -10 y = -22 / -10 The fraction -22 / -10 = -11 / -5 = 11 / 5. The solution is y = 11 / 5.
Solve for y: 2 + 3y = 3 + 4y + 5 .	The equation is in the form of ay + b = dy + c where: a = 3 b = 2 d = 4 c = 3 + 5 = 8 The solution is y = (c - b)/(a - d) if a ≠ d 8 - 2 = 6 3 - 4 = -1 y = 6 / -1 The fraction 6 / -1 = -6. The solution is y = 6.
Solve for y: -1y - 9 - 4y = -2 + 9y - 7 + 7y .	The equation is in the form of ay + b = dy + c where: a = -1 - 4 = -5 b = -9 d = 9 + 7 = 16 c = -2 - 7 = -9 The solution is y = (c - b)/(a - d) if a ≠ d -9 - -9 = 0 -5 - 16 = -21 y = 0 / -21 The fraction 0 / -21 = 0. The solution is y = 0.
Solve for y: 3y + 5 + 10y - 5 = -2 + 3y .	The equation is in the form of ay + b = dy + c where: a = 3 + 10 = 13 b = 5 - 5 = 0 d = 3 c = -2 The solution is y = (c - b)/(a - d) if a ≠ d -2 - 0 = -2 13 - 3 = 10 y = -2 / 10 The fraction -2 / 10 = -1 / 5. The solution is y = -1 / 5.
Solve for y: -7y - 8 - 4 = 1 - 9 .	The equation is in the form of ay + b = dy + c where: a = -7 b = -8 - 4 = -12 d = 0 c = 1 - 9 = -8 The solution is y = (c - b)/(a - d) if a ≠ d -8 - -12 = 4 -7 - 0 = -7 y = 4 / -7 The solution is y = 4 / -7.
Solve for y: 9 + 10y = 8 .	The equation is in the form of ay + b = dy + c where: a = 10 b = 9 d = 0 c = 8 The solution is y = (c - b)/(a - d) if a ≠ d 8 - 9 = -1 10 - 0 = 10 y = -1 / 10 The solution is y = -1 / 10.
Solve for y: 7 + 6 = -8y - 6 .	The equation is in the form of ay + b = dy + c where: a = 0 b = 7 + 6 = 13 d = -8 c = -6 The solution is y = (c - b)/(a - d) if a ≠ d -6 - 13 = -19 0 - -8 = 8 y = -19 / 8 The solution is y = -19 / 8.
Solve for y: 1 - 1y + 2 = -1 .	The equation is in the form of ay + b = dy + c where: a = -1 b = 1 + 2 = 3 d = 0 c = -1 The solution is y = (c - b)/(a - d) if a ≠ d -1 - 3 = -4 -1 - 0 = -1 y = -4 / -1 The fraction -4 / -1 = 4. The solution is y = -4.
Solve for y: -7 + 1 = -8y + 6 .	The equation is in the form of ay + b = dy + c where: a = 0 b = -7 + 1 = -6 d = -8 c = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - -6 = 12 0 - -8 = 8 y = 12 / 8 The fraction 12 / 8 = 3 / 2. The solution is y = 3 / 2.
Solve for y: -7y + 1y + 5 = 1y - 10y - 9 - 5 .	The equation is in the form of ay + b = dy + c where: a = -7 + 1 = -6 b = 5 d = 1 - 10 = -9 c = -9 - 5 = -14 The solution is y = (c - b)/(a - d) if a ≠ d -14 - 5 = -19 -6 - -9 = 3 y = -19 / 3 The solution is y = -19 / 3.
Solve for y: 9 + 3 = 10 + 9y + 3y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 9 + 3 = 12 d = 9 + 3 = 12 c = 10 The solution is y = (c - b)/(a - d) if a ≠ d 10 - 12 = -2 0 - 12 = -12 y = -2 / -12 The fraction -2 / -12 = -1 / -6 = 1 / 6. The solution is y = 1 / 6.
Solve for y: -2 + 1 + 9y = 4y + 2y .	The equation is in the form of ay + b = dy + c where: a = 9 b = -2 + 1 = -1 d = 4 + 2 = 6 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -1 = 1 9 - 6 = 3 y = 1 / 3 The solution is y = 1 / 3.
Solve for y: 6 + 4 = -3y + 2y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 6 + 4 = 10 d = -3 + 2 = -1 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 10 = -10 0 - -1 = 1 y = -10 / 1 The fraction -10 / 1 = -10. The solution is y = -10.
Solve for y: -10 - 4y + 7 = -7 .	The equation is in the form of ay + b = dy + c where: a = -4 b = -10 + 7 = -3 d = 0 c = -7 The solution is y = (c - b)/(a - d) if a ≠ d -7 - -3 = -4 -4 - 0 = -4 y = -4 / -4 The fraction -4 / -4 = 1. The solution is y = 1.
Solve for y: -6 - 10 = -10 - 4y - 8y .	The equation is in the form of ay + b = dy + c where: a = 0 b = -6 - 10 = -16 d = -4 - 8 = -12 c = -10 The solution is y = (c - b)/(a - d) if a ≠ d -10 - -16 = 6 0 - -12 = 12 y = 6 / 12 The fraction 6 / 12 = 1 / 2. The solution is y = 1 / 2.
Solve for y: -8y - 6y + 9 - 5 = 6 - 10y - 10y - 8 .	The equation is in the form of ay + b = dy + c where: a = -8 - 6 = -14 b = 9 - 5 = 4 d = -10 - 10 = -20 c = 6 - 8 = -2 The solution is y = (c - b)/(a - d) if a ≠ d -2 - 4 = -6 -14 - -20 = 6 y = -6 / 6 The fraction -6 / 6 = -1. The solution is y = -1.
Solve for y: 1y + 8y - 4 + 2 = -2 .	The equation is in the form of ay + b = dy + c where: a = 1 + 8 = 9 b = -4 + 2 = -2 d = 0 c = -2 The solution is y = (c - b)/(a - d) if a ≠ d -2 - -2 = 0 9 - 0 = 9 y = 0 / 9 The fraction 0 / 9 = 0. The solution is y = 0.
Solve for y: 5 - 6y + 5 = -1y + 3 + 6y - 9 .	The equation is in the form of ay + b = dy + c where: a = -6 b = 5 + 5 = 10 d = -1 + 6 = 5 c = 3 - 9 = -6 The solution is y = (c - b)/(a - d) if a ≠ d -6 - 10 = -16 -6 - 5 = -11 y = -16 / -11 The fraction -16 / -11 = 16 / 11. The solution is y = 16 / 11.
Solve for y: 2y - 8 - 7y = -2y + 2y .	The equation is in the form of ay + b = dy + c where: a = 2 - 7 = -5 b = -8 d = -2 + 2 = 0 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -8 = 8 -5 - 0 = -5 y = 8 / -5 The solution is y = 8 / -5.
Solve for y: 1 - 8y - 5 = -3y - 8 - 4 .	The equation is in the form of ay + b = dy + c where: a = -8 b = 1 - 5 = -4 d = -3 c = -8 - 4 = -12 The solution is y = (c - b)/(a - d) if a ≠ d -12 - -4 = -8 -8 - -3 = -5 y = -8 / -5 The fraction -8 / -5 = 8 / 5. The solution is y = 8 / 5.
Solve for y: -4 + 7 = 1y + 2 - 10y .	The equation is in the form of ay + b = dy + c where: a = 0 b = -4 + 7 = 3 d = 1 - 10 = -9 c = 2 The solution is y = (c - b)/(a - d) if a ≠ d 2 - 3 = -1 0 - -9 = 9 y = -1 / 9 The solution is y = -1 / 9.
Solve for y: 5 = -4 - 1 - 5y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 5 d = -5 c = -4 - 1 = -5 The solution is y = (c - b)/(a - d) if a ≠ d -5 - 5 = -10 0 - -5 = 5 y = -10 / 5 The fraction -10 / 5 = -2. The solution is y = -2.
Solve for y: 2y + 10 = 6y + 10 - 10y .	The equation is in the form of ay + b = dy + c where: a = 2 b = 10 d = 6 - 10 = -4 c = 10 The solution is y = (c - b)/(a - d) if a ≠ d 10 - 10 = 0 2 - -4 = 6 y = 0 / 6 The fraction 0 / 6 = 0. The solution is y = 0.
Solve for y: 5y - 5 - 10y + 5y = 7 + 6 .	The equation is in the form of ay + b = dy + c where: a = 5 - 10 + 5 = 0 b = -5 d = 0 c = 7 + 6 = 13 The solution is y = (c - b)/(a - d) if a ≠ d a = d, then it does not have solution.
Solve for y: -2 + 8y + 3y = -2y - 3y .	The equation is in the form of ay + b = dy + c where: a = 8 + 3 = 11 b = -2 d = -2 - 3 = -5 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -2 = 2 11 - -5 = 16 y = 2 / 16 The fraction 2 / 16 = 1 / 8. The solution is y = 1 / 8.
Solve for y: -10 + 1 = -8y - 2y .	The equation is in the form of ay + b = dy + c where: a = 0 b = -10 + 1 = -9 d = -8 - 2 = -10 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -9 = 9 0 - -10 = 10 y = 9 / 10 The solution is y = 9 / 10.
Solve for y: 5y - 1 - 9y = -5y + 5y .	The equation is in the form of ay + b = dy + c where: a = 5 - 9 = -4 b = -1 d = -5 + 5 = 0 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -1 = 1 -4 - 0 = -4 y = 1 / -4 The solution is y = 1 / -4.
Solve for y: -1 - 7y = 10y - 7 .	The equation is in the form of ay + b = dy + c where: a = -7 b = -1 d = 10 c = -7 The solution is y = (c - b)/(a - d) if a ≠ d -7 - -1 = -6 -7 - 10 = -17 y = -6 / -17 The fraction -6 / -17 = 6 / 17. The solution is y = 6 / 17.
Solve for y: -6y + 2 - 3 = 6y .	The equation is in the form of ay + b = dy + c where: a = -6 b = 2 - 3 = -1 d = 6 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -1 = 1 -6 - 6 = -12 y = 1 / -12 The solution is y = 1 / -12.
Solve for y: -7y - 2y = 5y + 9 .	The equation is in the form of ay + b = dy + c where: a = -7 - 2 = -9 b = 0 d = 5 c = 9 The solution is y = (c - b)/(a - d) if a ≠ d 9 - 0 = 9 -9 - 5 = -14 y = 9 / -14 The solution is y = 9 / -14.
Solve for y: -8y = -4 + 3y - 6y + 6 .	The equation is in the form of ay + b = dy + c where: a = -8 b = 0 d = 3 - 6 = -3 c = -4 + 6 = 2 The solution is y = (c - b)/(a - d) if a ≠ d 2 - 0 = 2 -8 - -3 = -5 y = 2 / -5 The solution is y = 2 / -5.
Solve for y: -10 = 9y + 8 .	The equation is in the form of ay + b = dy + c where: a = 0 b = -10 d = 9 c = 8 The solution is y = (c - b)/(a - d) if a ≠ d 8 - -10 = 18 0 - 9 = -9 y = 18 / -9 The fraction 18 / -9 = -2. The solution is y = 2.
Solve for y: 10 - 8 - 3y = 4 .	The equation is in the form of ay + b = dy + c where: a = -3 b = 10 - 8 = 2 d = 0 c = 4 The solution is y = (c - b)/(a - d) if a ≠ d 4 - 2 = 2 -3 - 0 = -3 y = 2 / -3 The solution is y = 2 / -3.
Solve for y: 9y + 1 - 9 = 7y .	The equation is in the form of ay + b = dy + c where: a = 9 b = 1 - 9 = -8 d = 7 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -8 = 8 9 - 7 = 2 y = 8 / 2 The fraction 8 / 2 = 4. The solution is y = 4.
Solve for y: 8y + 10 + 10 = -6 - 1 .	The equation is in the form of ay + b = dy + c where: a = 8 b = 10 + 10 = 20 d = 0 c = -6 - 1 = -7 The solution is y = (c - b)/(a - d) if a ≠ d -7 - 20 = -27 8 - 0 = 8 y = -27 / 8 The solution is y = -27 / 8.
Solve for y: -10 = -3y + 4y .	The equation is in the form of ay + b = dy + c where: a = 0 b = -10 d = -3 + 4 = 1 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -10 = 10 0 - 1 = -1 y = 10 / -1 The fraction 10 / -1 = -10. The solution is y = 10.
Solve for y: 7 = 8 - 9y - 5 .	The equation is in the form of ay + b = dy + c where: a = 0 b = 7 d = -9 c = 8 - 5 = 3 The solution is y = (c - b)/(a - d) if a ≠ d 3 - 7 = -4 0 - -9 = 9 y = -4 / 9 The solution is y = -4 / 9.
Solve for y: 3 - 6y + 2 = 4y + 4y .	The equation is in the form of ay + b = dy + c where: a = -6 b = 3 + 2 = 5 d = 4 + 4 = 8 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 5 = -5 -6 - 8 = -14 y = -5 / -14 The fraction -5 / -14 = 5 / 14. The solution is y = 5 / 14.
Solve for y: -3y - 2y = 5y + 1y .	The equation is in the form of ay + b = dy + c where: a = -3 - 2 = -5 b = 0 d = 5 + 1 = 6 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 0 = 0 -5 - 6 = -11 y = 0 / -11 The fraction 0 / -11 = 0. The solution is y = 0.
Solve for y: 8 = -10y - 10y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 8 d = -10 - 10 = -20 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 8 = -8 0 - -20 = 20 y = -8 / 20 The fraction -8 / 20 = -2 / 5. The solution is y = -2 / 5.
Solve for y: 4 - 6 + 10y - 7y = 10y .	The equation is in the form of ay + b = dy + c where: a = 10 - 7 = 3 b = 4 - 6 = -2 d = 10 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -2 = 2 3 - 10 = -7 y = 2 / -7 The solution is y = 2 / -7.
Solve for y: 5y + 2 - 5 - 1y = -8y - 5y .	The equation is in the form of ay + b = dy + c where: a = 5 - 1 = 4 b = 2 - 5 = -3 d = -8 - 5 = -13 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -3 = 3 4 - -13 = 17 y = 3 / 17 The solution is y = 3 / 17.
Solve for y: 2 - 4 = -6 + 4 + 9y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 2 - 4 = -2 d = 9 c = -6 + 4 = -2 The solution is y = (c - b)/(a - d) if a ≠ d -2 - -2 = 0 0 - 9 = -9 y = 0 / -9 The fraction 0 / -9 = 0. The solution is y = 0.
Solve for y: -3 = -5y - 5y - 1 .	The equation is in the form of ay + b = dy + c where: a = 0 b = -3 d = -5 - 5 = -10 c = -1 The solution is y = (c - b)/(a - d) if a ≠ d -1 - -3 = 2 0 - -10 = 10 y = 2 / 10 The fraction 2 / 10 = 1 / 5. The solution is y = 1 / 5.
Solve for y: 5 - 3 - 2y = 2 + 4 .	The equation is in the form of ay + b = dy + c where: a = -2 b = 5 - 3 = 2 d = 0 c = 2 + 4 = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - 2 = 4 -2 - 0 = -2 y = 4 / -2 The fraction 4 / -2 = -2. The solution is y = 2.
Solve for y: -5y + 1y + 8 = -8 - 2y .	The equation is in the form of ay + b = dy + c where: a = -5 + 1 = -4 b = 8 d = -2 c = -8 The solution is y = (c - b)/(a - d) if a ≠ d -8 - 8 = -16 -4 - -2 = -2 y = -16 / -2 The fraction -16 / -2 = 8. The solution is y = -8.
Solve for y: 7y - 9y + 1 = -3 + 1 .	The equation is in the form of ay + b = dy + c where: a = 7 - 9 = -2 b = 1 d = 0 c = -3 + 1 = -2 The solution is y = (c - b)/(a - d) if a ≠ d -2 - 1 = -3 -2 - 0 = -2 y = -3 / -2 The fraction -3 / -2 = 3 / 2. The solution is y = 3 / 2.
Solve for y: 5 + 9 = -3 + 2 - 1y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 5 + 9 = 14 d = -1 c = -3 + 2 = -1 The solution is y = (c - b)/(a - d) if a ≠ d -1 - 14 = -15 0 - -1 = 1 y = -15 / 1 The fraction -15 / 1 = -15. The solution is y = -15.
Solve for y: 7 - 1y - 9y = -7y - 2y + 6 .	The equation is in the form of ay + b = dy + c where: a = -1 - 9 = -10 b = 7 d = -7 - 2 = -9 c = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - 7 = -1 -10 - -9 = -1 y = -1 / -1 The fraction -1 / -1 = 1. The solution is y = 1.
Solve for y: -8y - 3 = -3y - 7y .	The equation is in the form of ay + b = dy + c where: a = -8 b = -3 d = -3 - 7 = -10 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -3 = 3 -8 - -10 = 2 y = 3 / 2 The solution is y = 3 / 2.
Solve for y: -7y - 3y = 1 + 2y - 4y - 2 .	The equation is in the form of ay + b = dy + c where: a = -7 - 3 = -10 b = 0 d = 2 - 4 = -2 c = 1 - 2 = -1 The solution is y = (c - b)/(a - d) if a ≠ d -1 - 0 = -1 -10 - -2 = -8 y = -1 / -8 The fraction -1 / -8 = 1 / 8. The solution is y = 1 / 8.
Solve for y: 8 = -3 - 5y + 8 + 6y .	The equation is in the form of ay + b = dy + c where: a = 0 b = 8 d = -5 + 6 = 1 c = -3 + 8 = 5 The solution is y = (c - b)/(a - d) if a ≠ d 5 - 8 = -3 0 - 1 = -1 y = -3 / -1 The fraction -3 / -1 = 3. The solution is y = -3.