Problem
stringlengths
21
59
Solution
stringlengths
161
284
Solve for y: -9 + 3y - 6 = -5y + 3y - 4 .
The equation is in the form of ay + b = dy + c where: a = 3 b = -9 - 6 = -15 d = -5 + 3 = -2 c = -4 The solution is y = (c - b)/(a - d) if a ≠ d -4 - -15 = 11 3 - -2 = 5 y = 11 / 5 The solution is y = 11 / 5.
Solve for y: 3 + 10y + 1y = -6y .
The equation is in the form of ay + b = dy + c where: a = 10 + 1 = 11 b = 3 d = -6 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 3 = -3 11 - -6 = 17 y = -3 / 17 The solution is y = -3 / 17.
Solve for y: -1 + 9 = 2 + 10 + 3y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -1 + 9 = 8 d = 3 c = 2 + 10 = 12 The solution is y = (c - b)/(a - d) if a ≠ d 12 - 8 = 4 0 - 3 = -3 y = 4 / -3 The solution is y = 4 / -3.
Solve for y: 10y - 7y = -9 .
The equation is in the form of ay + b = dy + c where: a = 10 - 7 = 3 b = 0 d = 0 c = -9 The solution is y = (c - b)/(a - d) if a ≠ d -9 - 0 = -9 3 - 0 = 3 y = -9 / 3 The fraction -9 / 3 = -3. The solution is y = -3.
Solve for y: -7 + 5 = 9 - 10y + 1y - 2 .
The equation is in the form of ay + b = dy + c where: a = 0 b = -7 + 5 = -2 d = -10 + 1 = -9 c = 9 - 2 = 7 The solution is y = (c - b)/(a - d) if a ≠ d 7 - -2 = 9 0 - -9 = 9 y = 9 / 9 The fraction 9 / 9 = 1. The solution is y = 1.
Solve for y: -6 - 8 + 1y = -8 .
The equation is in the form of ay + b = dy + c where: a = 1 b = -6 - 8 = -14 d = 0 c = -8 The solution is y = (c - b)/(a - d) if a ≠ d -8 - -14 = 6 1 - 0 = 1 y = 6 / 1 The fraction 6 / 1 = 6. The solution is y = 6.
Solve for y: 2y - 2y = 6 - 5y .
The equation is in the form of ay + b = dy + c where: a = 2 - 2 = 0 b = 0 d = -5 c = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - 0 = 6 0 - -5 = 5 y = 6 / 5 The solution is y = 6 / 5.
Solve for y: -9y - 6 - 9y = 6y + 2y .
The equation is in the form of ay + b = dy + c where: a = -9 - 9 = -18 b = -6 d = 6 + 2 = 8 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -6 = 6 -18 - 8 = -26 y = 6 / -26 The fraction 6 / -26 = 3 / -13. The solution is y = 3 / -13.
Solve for y: -7 - 6 = -4y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -7 - 6 = -13 d = -4 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -13 = 13 0 - -4 = 4 y = 13 / 4 The solution is y = 13 / 4.
Solve for y: -8 + 10y = -5y + 4 - 2 + 9y .
The equation is in the form of ay + b = dy + c where: a = 10 b = -8 d = -5 + 9 = 4 c = 4 - 2 = 2 The solution is y = (c - b)/(a - d) if a ≠ d 2 - -8 = 10 10 - 4 = 6 y = 10 / 6 The fraction 10 / 6 = 5 / 3. The solution is y = 5 / 3.
Solve for y: 8y - 9y = 2y - 8y + 1 .
The equation is in the form of ay + b = dy + c where: a = 8 - 9 = -1 b = 0 d = 2 - 8 = -6 c = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - 0 = 1 -1 - -6 = 5 y = 1 / 5 The solution is y = 1 / 5.
Solve for y: 9y = -6 + 8 .
The equation is in the form of ay + b = dy + c where: a = 9 b = 0 d = 0 c = -6 + 8 = 2 The solution is y = (c - b)/(a - d) if a ≠ d 2 - 0 = 2 9 - 0 = 9 y = 2 / 9 The solution is y = 2 / 9.
Solve for y: 10 + 3y - 9y - 2 = 9 - 9y - 9y + 2 .
The equation is in the form of ay + b = dy + c where: a = 3 - 9 = -6 b = 10 - 2 = 8 d = -9 - 9 = -18 c = 9 + 2 = 11 The solution is y = (c - b)/(a - d) if a ≠ d 11 - 8 = 3 -6 - -18 = 12 y = 3 / 12 The fraction 3 / 12 = 1 / 4. The solution is y = 1 / 4.
Solve for y: 10 + 2 + 3y = -10 - 2 .
The equation is in the form of ay + b = dy + c where: a = 3 b = 10 + 2 = 12 d = 0 c = -10 - 2 = -12 The solution is y = (c - b)/(a - d) if a ≠ d -12 - 12 = -24 3 - 0 = 3 y = -24 / 3 The fraction -24 / 3 = -8. The solution is y = -8.
Solve for y: -7 + 3 + 9y = -2 + 8 + 7y .
The equation is in the form of ay + b = dy + c where: a = 9 b = -7 + 3 = -4 d = 7 c = -2 + 8 = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - -4 = 10 9 - 7 = 2 y = 10 / 2 The fraction 10 / 2 = 5. The solution is y = 5.
Solve for y: 2y + 4y = -5 - 9 .
The equation is in the form of ay + b = dy + c where: a = 2 + 4 = 6 b = 0 d = 0 c = -5 - 9 = -14 The solution is y = (c - b)/(a - d) if a ≠ d -14 - 0 = -14 6 - 0 = 6 y = -14 / 6 The fraction -14 / 6 = -7 / 3. The solution is y = -7 / 3.
Solve for y: -9 = -4y - 10y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -9 d = -4 - 10 = -14 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -9 = 9 0 - -14 = 14 y = 9 / 14 The solution is y = 9 / 14.
Solve for y: 7 - 6 + 6y = -9 .
The equation is in the form of ay + b = dy + c where: a = 6 b = 7 - 6 = 1 d = 0 c = -9 The solution is y = (c - b)/(a - d) if a ≠ d -9 - 1 = -10 6 - 0 = 6 y = -10 / 6 The fraction -10 / 6 = -5 / 3. The solution is y = -5 / 3.
Solve for y: 7y = 4 + 5y - 3 .
The equation is in the form of ay + b = dy + c where: a = 7 b = 0 d = 5 c = 4 - 3 = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - 0 = 1 7 - 5 = 2 y = 1 / 2 The solution is y = 1 / 2.
Solve for y: 2 - 2 = -6y - 4 .
The equation is in the form of ay + b = dy + c where: a = 0 b = 2 - 2 = 0 d = -6 c = -4 The solution is y = (c - b)/(a - d) if a ≠ d -4 - 0 = -4 0 - -6 = 6 y = -4 / 6 The fraction -4 / 6 = -2 / 3. The solution is y = -2 / 3.
Solve for y: 7 = -3y + 3 - 6 + 4y .
The equation is in the form of ay + b = dy + c where: a = 0 b = 7 d = -3 + 4 = 1 c = 3 - 6 = -3 The solution is y = (c - b)/(a - d) if a ≠ d -3 - 7 = -10 0 - 1 = -1 y = -10 / -1 The fraction -10 / -1 = 10. The solution is y = -10.
Solve for y: -8 = -3y + 6 .
The equation is in the form of ay + b = dy + c where: a = 0 b = -8 d = -3 c = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - -8 = 14 0 - -3 = 3 y = 14 / 3 The solution is y = 14 / 3.
Solve for y: -3 + 5 - 5y + 3y = -3y + 8y .
The equation is in the form of ay + b = dy + c where: a = -5 + 3 = -2 b = -3 + 5 = 2 d = -3 + 8 = 5 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 2 = -2 -2 - 5 = -7 y = -2 / -7 The fraction -2 / -7 = 2 / 7. The solution is y = 2 / 7.
Solve for y: -6 + 3 = 6y + 10y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -6 + 3 = -3 d = 6 + 10 = 16 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -3 = 3 0 - 16 = -16 y = 3 / -16 The solution is y = 3 / -16.
Solve for y: -9 = -5 + 9y - 2y + 5 .
The equation is in the form of ay + b = dy + c where: a = 0 b = -9 d = 9 - 2 = 7 c = -5 + 5 = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -9 = 9 0 - 7 = -7 y = 9 / -7 The solution is y = 9 / -7.
Solve for y: -5 + 4y + 5y = -3 + 4 .
The equation is in the form of ay + b = dy + c where: a = 4 + 5 = 9 b = -5 d = 0 c = -3 + 4 = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - -5 = 6 9 - 0 = 9 y = 6 / 9 The fraction 6 / 9 = 2 / 3. The solution is y = 2 / 3.
Solve for y: -1y + 5 - 7y = 1 + 6 .
The equation is in the form of ay + b = dy + c where: a = -1 - 7 = -8 b = 5 d = 0 c = 1 + 6 = 7 The solution is y = (c - b)/(a - d) if a ≠ d 7 - 5 = 2 -8 - 0 = -8 y = 2 / -8 The fraction 2 / -8 = 1 / -4. The solution is y = 1 / -4.
Solve for y: -8 = 2y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -8 d = 2 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -8 = 8 0 - 2 = -2 y = 8 / -2 The fraction 8 / -2 = -4. The solution is y = 4.
Solve for y: -2y = -8 - 2 .
The equation is in the form of ay + b = dy + c where: a = -2 b = 0 d = 0 c = -8 - 2 = -10 The solution is y = (c - b)/(a - d) if a ≠ d -10 - 0 = -10 -2 - 0 = -2 y = -10 / -2 The fraction -10 / -2 = 5. The solution is y = -5.
Solve for y: -4 + 6y - 7 - 10y = -8 + 4 .
The equation is in the form of ay + b = dy + c where: a = 6 - 10 = -4 b = -4 - 7 = -11 d = 0 c = -8 + 4 = -4 The solution is y = (c - b)/(a - d) if a ≠ d -4 - -11 = 7 -4 - 0 = -4 y = 7 / -4 The solution is y = 7 / -4.
Solve for y: 1y - 6y = 10y + 5 + 8y + 1 .
The equation is in the form of ay + b = dy + c where: a = 1 - 6 = -5 b = 0 d = 10 + 8 = 18 c = 5 + 1 = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - 0 = 6 -5 - 18 = -23 y = 6 / -23 The solution is y = 6 / -23.
Solve for y: -4 + 1 = 4y + 2y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -4 + 1 = -3 d = 4 + 2 = 6 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -3 = 3 0 - 6 = -6 y = 3 / -6 The fraction 3 / -6 = 1 / -2. The solution is y = 1 / -2.
Solve for y: 6 - 5y = 6y - 3 - 5y .
The equation is in the form of ay + b = dy + c where: a = -5 b = 6 d = 6 - 5 = 1 c = -3 The solution is y = (c - b)/(a - d) if a ≠ d -3 - 6 = -9 -5 - 1 = -6 y = -9 / -6 The fraction -9 / -6 = -3 / -2 = 3 / 2. The solution is y = 3 / 2.
Solve for y: 6 - 7y - 9 + 1y = -4y .
The equation is in the form of ay + b = dy + c where: a = -7 + 1 = -6 b = 6 - 9 = -3 d = -4 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -3 = 3 -6 - -4 = -2 y = 3 / -2 The solution is y = 3 / -2.
Solve for y: -8 - 1 = 7 - 2y - 8y - 6 .
The equation is in the form of ay + b = dy + c where: a = 0 b = -8 - 1 = -9 d = -2 - 8 = -10 c = 7 - 6 = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - -9 = 10 0 - -10 = 10 y = 10 / 10 The fraction 10 / 10 = 1. The solution is y = 1.
Solve for y: -8y - 9y + 7 = -8y - 1 .
The equation is in the form of ay + b = dy + c where: a = -8 - 9 = -17 b = 7 d = -8 c = -1 The solution is y = (c - b)/(a - d) if a ≠ d -1 - 7 = -8 -17 - -8 = -9 y = -8 / -9 The fraction -8 / -9 = 8 / 9. The solution is y = 8 / 9.
Solve for y: 10y - 5y = -1y - 1y + 3 .
The equation is in the form of ay + b = dy + c where: a = 10 - 5 = 5 b = 0 d = -1 - 1 = -2 c = 3 The solution is y = (c - b)/(a - d) if a ≠ d 3 - 0 = 3 5 - -2 = 7 y = 3 / 7 The solution is y = 3 / 7.
Solve for y: 2y + 6 + 10y + 5 = 8 - 10y .
The equation is in the form of ay + b = dy + c where: a = 2 + 10 = 12 b = 6 + 5 = 11 d = -10 c = 8 The solution is y = (c - b)/(a - d) if a ≠ d 8 - 11 = -3 12 - -10 = 22 y = -3 / 22 The solution is y = -3 / 22.
Solve for y: -3 - 5 + 3y = -8y + 3 .
The equation is in the form of ay + b = dy + c where: a = 3 b = -3 - 5 = -8 d = -8 c = 3 The solution is y = (c - b)/(a - d) if a ≠ d 3 - -8 = 11 3 - -8 = 11 y = 11 / 11 The fraction 11 / 11 = 1. The solution is y = 1.
Solve for y: -3y + 8 = -10y + 1 + 5y .
The equation is in the form of ay + b = dy + c where: a = -3 b = 8 d = -10 + 5 = -5 c = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - 8 = -7 -3 - -5 = 2 y = -7 / 2 The solution is y = -7 / 2.
Solve for y: -9 + 9y - 8y = -8y .
The equation is in the form of ay + b = dy + c where: a = 9 - 8 = 1 b = -9 d = -8 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -9 = 9 1 - -8 = 9 y = 9 / 9 The fraction 9 / 9 = 1. The solution is y = 1.
Solve for y: 2y + 6y - 3 = -10y .
The equation is in the form of ay + b = dy + c where: a = 2 + 6 = 8 b = -3 d = -10 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -3 = 3 8 - -10 = 18 y = 3 / 18 The fraction 3 / 18 = 1 / 6. The solution is y = 1 / 6.
Solve for y: -6y - 10 - 5y = 7y .
The equation is in the form of ay + b = dy + c where: a = -6 - 5 = -11 b = -10 d = 7 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -10 = 10 -11 - 7 = -18 y = 10 / -18 The fraction 10 / -18 = 5 / -9. The solution is y = 5 / -9.
Solve for y: -10 = -4y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -10 d = -4 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -10 = 10 0 - -4 = 4 y = 10 / 4 The fraction 10 / 4 = 5 / 2. The solution is y = 5 / 2.
Solve for y: 3y - 9 + 1y = -7y .
The equation is in the form of ay + b = dy + c where: a = 3 + 1 = 4 b = -9 d = -7 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -9 = 9 4 - -7 = 11 y = 9 / 11 The solution is y = 9 / 11.
Solve for y: -1 - 6 = -9y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -1 - 6 = -7 d = -9 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -7 = 7 0 - -9 = 9 y = 7 / 9 The solution is y = 7 / 9.
Solve for y: 3 - 9 = -5y - 7y - 5y .
The equation is in the form of ay + b = dy + c where: a = 0 b = 3 - 9 = -6 d = -5 - 7 - 5 = -17 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -6 = 6 0 - -17 = 17 y = 6 / 17 The solution is y = 6 / 17.
Solve for y: -2y + 5 + 3 = -4 - 7 - 5y .
The equation is in the form of ay + b = dy + c where: a = -2 b = 5 + 3 = 8 d = -5 c = -4 - 7 = -11 The solution is y = (c - b)/(a - d) if a ≠ d -11 - 8 = -19 -2 - -5 = 3 y = -19 / 3 The solution is y = -19 / 3.
Solve for y: 4y + 5y + 1 = 8 .
The equation is in the form of ay + b = dy + c where: a = 4 + 5 = 9 b = 1 d = 0 c = 8 The solution is y = (c - b)/(a - d) if a ≠ d 8 - 1 = 7 9 - 0 = 9 y = 7 / 9 The solution is y = 7 / 9.
Solve for y: -1y + 9y = 9y + 7 .
The equation is in the form of ay + b = dy + c where: a = -1 + 9 = 8 b = 0 d = 9 c = 7 The solution is y = (c - b)/(a - d) if a ≠ d 7 - 0 = 7 8 - 9 = -1 y = 7 / -1 The fraction 7 / -1 = -7. The solution is y = 7.
Solve for y: -4 - 3y = -5y .
The equation is in the form of ay + b = dy + c where: a = -3 b = -4 d = -5 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -4 = 4 -3 - -5 = 2 y = 4 / 2 The fraction 4 / 2 = 2. The solution is y = 2.
Solve for y: 8 + 8 + 10y + 6y = -2 + 8 .
The equation is in the form of ay + b = dy + c where: a = 10 + 6 = 16 b = 8 + 8 = 16 d = 0 c = -2 + 8 = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - 16 = -10 16 - 0 = 16 y = -10 / 16 The fraction -10 / 16 = -5 / 8. The solution is y = -5 / 8.
Solve for y: -6 + 10 = 8y + 1 - 10 + 3y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -6 + 10 = 4 d = 8 + 3 = 11 c = 1 - 10 = -9 The solution is y = (c - b)/(a - d) if a ≠ d -9 - 4 = -13 0 - 11 = -11 y = -13 / -11 The fraction -13 / -11 = 13 / 11. The solution is y = 13 / 11.
Solve for y: -1 + 2y - 9 + 2y = 8 + 4y - 1y + 4y .
The equation is in the form of ay + b = dy + c where: a = 2 + 2 = 4 b = -1 - 9 = -10 d = 4 - 1 + 4 = 7 c = 8 The solution is y = (c - b)/(a - d) if a ≠ d 8 - -10 = 18 4 - 7 = -3 y = 18 / -3 The fraction 18 / -3 = -6. The solution is y = 6.
Solve for y: -1 + 5 - 3y = 9 - 9 .
The equation is in the form of ay + b = dy + c where: a = -3 b = -1 + 5 = 4 d = 0 c = 9 - 9 = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 4 = -4 -3 - 0 = -3 y = -4 / -3 The fraction -4 / -3 = 4 / 3. The solution is y = 4 / 3.
Solve for y: -7y + 1 - 3y = -7y .
The equation is in the form of ay + b = dy + c where: a = -7 - 3 = -10 b = 1 d = -7 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 1 = -1 -10 - -7 = -3 y = -1 / -3 The fraction -1 / -3 = 1 / 3. The solution is y = 1 / 3.
Solve for y: -2y = -6y + 5y .
The equation is in the form of ay + b = dy + c where: a = -2 b = 0 d = -6 + 5 = -1 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 0 = 0 -2 - -1 = -1 y = 0 / -1 The fraction 0 / -1 = 0. The solution is y = 0.
Solve for y: 9 - 2 = 2y .
The equation is in the form of ay + b = dy + c where: a = 0 b = 9 - 2 = 7 d = 2 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 7 = -7 0 - 2 = -2 y = -7 / -2 The fraction -7 / -2 = 7 / 2. The solution is y = 7 / 2.
Solve for y: 5y = 1y - 1y .
The equation is in the form of ay + b = dy + c where: a = 5 b = 0 d = 1 - 1 = 0 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 0 = 0 5 - 0 = 5 y = 0 / 5 The fraction 0 / 5 = 0. The solution is y = 0.
Solve for y: -8 = -8 - 7 + 6y + 2y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -8 d = 6 + 2 = 8 c = -8 - 7 = -15 The solution is y = (c - b)/(a - d) if a ≠ d -15 - -8 = -7 0 - 8 = -8 y = -7 / -8 The fraction -7 / -8 = 7 / 8. The solution is y = 7 / 8.
Solve for y: -8 + 3 + 2y = -3 + 4 .
The equation is in the form of ay + b = dy + c where: a = 2 b = -8 + 3 = -5 d = 0 c = -3 + 4 = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - -5 = 6 2 - 0 = 2 y = 6 / 2 The fraction 6 / 2 = 3. The solution is y = 3.
Solve for y: -4 = 7y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -4 d = 7 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -4 = 4 0 - 7 = -7 y = 4 / -7 The solution is y = 4 / -7.
Solve for y: -6 + 3y = -5y - 4 .
The equation is in the form of ay + b = dy + c where: a = 3 b = -6 d = -5 c = -4 The solution is y = (c - b)/(a - d) if a ≠ d -4 - -6 = 2 3 - -5 = 8 y = 2 / 8 The fraction 2 / 8 = 1 / 4. The solution is y = 1 / 4.
Solve for y: 2 = 4y + 4y .
The equation is in the form of ay + b = dy + c where: a = 0 b = 2 d = 4 + 4 = 8 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 2 = -2 0 - 8 = -8 y = -2 / -8 The fraction -2 / -8 = -1 / -4 = 1 / 4. The solution is y = 1 / 4.
Solve for y: -1y - 7 + 1y = -5y - 10 - 8y .
The equation is in the form of ay + b = dy + c where: a = -1 + 1 = 0 b = -7 d = -5 - 8 = -13 c = -10 The solution is y = (c - b)/(a - d) if a ≠ d -10 - -7 = -3 0 - -13 = 13 y = -3 / 13 The solution is y = -3 / 13.
Solve for y: -9 + 10y + 5y = -9y + 1y + 9 .
The equation is in the form of ay + b = dy + c where: a = 10 + 5 = 15 b = -9 d = -9 + 1 = -8 c = 9 The solution is y = (c - b)/(a - d) if a ≠ d 9 - -9 = 18 15 - -8 = 23 y = 18 / 23 The solution is y = 18 / 23.
Solve for y: 10y + 1y - 1 + 7 = -5 + 1y - 2y .
The equation is in the form of ay + b = dy + c where: a = 10 + 1 = 11 b = -1 + 7 = 6 d = 1 - 2 = -1 c = -5 The solution is y = (c - b)/(a - d) if a ≠ d -5 - 6 = -11 11 - -1 = 12 y = -11 / 12 The solution is y = -11 / 12.
Solve for y: -6 + 1 = 8 + 2 - 9y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -6 + 1 = -5 d = -9 c = 8 + 2 = 10 The solution is y = (c - b)/(a - d) if a ≠ d 10 - -5 = 15 0 - -9 = 9 y = 15 / 9 The fraction 15 / 9 = 5 / 3. The solution is y = 5 / 3.
Solve for y: 4y = 5 + 7y .
The equation is in the form of ay + b = dy + c where: a = 4 b = 0 d = 7 c = 5 The solution is y = (c - b)/(a - d) if a ≠ d 5 - 0 = 5 4 - 7 = -3 y = 5 / -3 The solution is y = 5 / -3.
Solve for y: 5 - 5y + 6y = 6 - 7y .
The equation is in the form of ay + b = dy + c where: a = -5 + 6 = 1 b = 5 d = -7 c = 6 The solution is y = (c - b)/(a - d) if a ≠ d 6 - 5 = 1 1 - -7 = 8 y = 1 / 8 The solution is y = 1 / 8.
Solve for y: -3 = 9y - 3 - 2 .
The equation is in the form of ay + b = dy + c where: a = 0 b = -3 d = 9 c = -3 - 2 = -5 The solution is y = (c - b)/(a - d) if a ≠ d -5 - -3 = -2 0 - 9 = -9 y = -2 / -9 The fraction -2 / -9 = 2 / 9. The solution is y = 2 / 9.
Solve for y: 5y + 9 + 2 = -4y .
The equation is in the form of ay + b = dy + c where: a = 5 b = 9 + 2 = 11 d = -4 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 11 = -11 5 - -4 = 9 y = -11 / 9 The solution is y = -11 / 9.
Solve for y: 7 - 2y = 7y + 10y - 6 .
The equation is in the form of ay + b = dy + c where: a = -2 b = 7 d = 7 + 10 = 17 c = -6 The solution is y = (c - b)/(a - d) if a ≠ d -6 - 7 = -13 -2 - 17 = -19 y = -13 / -19 The fraction -13 / -19 = 13 / 19. The solution is y = 13 / 19.
Solve for y: -5y + 2 = -4 .
The equation is in the form of ay + b = dy + c where: a = -5 b = 2 d = 0 c = -4 The solution is y = (c - b)/(a - d) if a ≠ d -4 - 2 = -6 -5 - 0 = -5 y = -6 / -5 The fraction -6 / -5 = 6 / 5. The solution is y = 6 / 5.
Solve for y: -8 + 3 + 9y + 5y = -4y - 9 .
The equation is in the form of ay + b = dy + c where: a = 9 + 5 = 14 b = -8 + 3 = -5 d = -4 c = -9 The solution is y = (c - b)/(a - d) if a ≠ d -9 - -5 = -4 14 - -4 = 18 y = -4 / 18 The fraction -4 / 18 = -2 / 9. The solution is y = -2 / 9.
Solve for y: 2y = -6y - 1 .
The equation is in the form of ay + b = dy + c where: a = 2 b = 0 d = -6 c = -1 The solution is y = (c - b)/(a - d) if a ≠ d -1 - 0 = -1 2 - -6 = 8 y = -1 / 8 The solution is y = -1 / 8.
Solve for y: -3y - 2y = -6y + 10 + 3 .
The equation is in the form of ay + b = dy + c where: a = -3 - 2 = -5 b = 0 d = -6 c = 10 + 3 = 13 The solution is y = (c - b)/(a - d) if a ≠ d 13 - 0 = 13 -5 - -6 = 1 y = 13 / 1 The fraction 13 / 1 = 13. The solution is y = 13.
Solve for y: 5y + 8 - 1y = -10y + 1 - 2y .
The equation is in the form of ay + b = dy + c where: a = 5 - 1 = 4 b = 8 d = -10 - 2 = -12 c = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - 8 = -7 4 - -12 = 16 y = -7 / 16 The solution is y = -7 / 16.
Solve for y: -6 + 7 = 6y - 1y + 10 .
The equation is in the form of ay + b = dy + c where: a = 0 b = -6 + 7 = 1 d = 6 - 1 = 5 c = 10 The solution is y = (c - b)/(a - d) if a ≠ d 10 - 1 = 9 0 - 5 = -5 y = 9 / -5 The solution is y = 9 / -5.
Solve for y: -6y = -5y + 7y .
The equation is in the form of ay + b = dy + c where: a = -6 b = 0 d = -5 + 7 = 2 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 0 = 0 -6 - 2 = -8 y = 0 / -8 The fraction 0 / -8 = 0. The solution is y = 0.
Solve for y: 3 = -9 + 7y .
The equation is in the form of ay + b = dy + c where: a = 0 b = 3 d = 7 c = -9 The solution is y = (c - b)/(a - d) if a ≠ d -9 - 3 = -12 0 - 7 = -7 y = -12 / -7 The fraction -12 / -7 = 12 / 7. The solution is y = 12 / 7.
Solve for y: 1 - 6 = -1y + 2y - 5 - 2 .
The equation is in the form of ay + b = dy + c where: a = 0 b = 1 - 6 = -5 d = -1 + 2 = 1 c = -5 - 2 = -7 The solution is y = (c - b)/(a - d) if a ≠ d -7 - -5 = -2 0 - 1 = -1 y = -2 / -1 The fraction -2 / -1 = 2. The solution is y = -2.
Solve for y: -4y + 2y = 2y + 7y .
The equation is in the form of ay + b = dy + c where: a = -4 + 2 = -2 b = 0 d = 2 + 7 = 9 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 0 = 0 -2 - 9 = -11 y = 0 / -11 The fraction 0 / -11 = 0. The solution is y = 0.
Solve for y: -1y - 2y - 5 + 10 = -8 + 8y - 9 .
The equation is in the form of ay + b = dy + c where: a = -1 - 2 = -3 b = -5 + 10 = 5 d = 8 c = -8 - 9 = -17 The solution is y = (c - b)/(a - d) if a ≠ d -17 - 5 = -22 -3 - 8 = -11 y = -22 / -11 The fraction -22 / -11 = 2. The solution is y = -2.
Solve for y: -10 - 10 = -6y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -10 - 10 = -20 d = -6 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - -20 = 20 0 - -6 = 6 y = 20 / 6 The fraction 20 / 6 = 10 / 3. The solution is y = 10 / 3.
Solve for y: 8 = 5 + 8y .
The equation is in the form of ay + b = dy + c where: a = 0 b = 8 d = 8 c = 5 The solution is y = (c - b)/(a - d) if a ≠ d 5 - 8 = -3 0 - 8 = -8 y = -3 / -8 The fraction -3 / -8 = 3 / 8. The solution is y = 3 / 8.
Solve for y: 4y - 6y = 8y .
The equation is in the form of ay + b = dy + c where: a = 4 - 6 = -2 b = 0 d = 8 c = 0 The solution is y = (c - b)/(a - d) if a ≠ d 0 - 0 = 0 -2 - 8 = -10 y = 0 / -10 The fraction 0 / -10 = 0. The solution is y = 0.
Solve for y: -9y - 8y = 2 + 1 .
The equation is in the form of ay + b = dy + c where: a = -9 - 8 = -17 b = 0 d = 0 c = 2 + 1 = 3 The solution is y = (c - b)/(a - d) if a ≠ d 3 - 0 = 3 -17 - 0 = -17 y = 3 / -17 The solution is y = 3 / -17.
Solve for y: -6 - 4y - 9y + 5 = -4y - 4y - 6 .
The equation is in the form of ay + b = dy + c where: a = -4 - 9 = -13 b = -6 + 5 = -1 d = -4 - 4 = -8 c = -6 The solution is y = (c - b)/(a - d) if a ≠ d -6 - -1 = -5 -13 - -8 = -5 y = -5 / -5 The fraction -5 / -5 = 1. The solution is y = 1.
Solve for y: -5 = -9 + 3 - 5y + 8y .
The equation is in the form of ay + b = dy + c where: a = 0 b = -5 d = -5 + 8 = 3 c = -9 + 3 = -6 The solution is y = (c - b)/(a - d) if a ≠ d -6 - -5 = -1 0 - 3 = -3 y = -1 / -3 The fraction -1 / -3 = 1 / 3. The solution is y = 1 / 3.
Solve for y: -9 - 3y - 3y - 7 = 2 - 8y .
The equation is in the form of ay + b = dy + c where: a = -3 - 3 = -6 b = -9 - 7 = -16 d = -8 c = 2 The solution is y = (c - b)/(a - d) if a ≠ d 2 - -16 = 18 -6 - -8 = 2 y = 18 / 2 The fraction 18 / 2 = 9. The solution is y = 9.
Solve for y: 4 - 4y = -4y + 8 - 2 .
The equation is in the form of ay + b = dy + c where: a = -4 b = 4 d = -4 c = 8 - 2 = 6 The solution is y = (c - b)/(a - d) if a ≠ d a = d, then it does not have solution.
Solve for y: 2 + 7 = -3 - 5y + 6 + 1y .
The equation is in the form of ay + b = dy + c where: a = 0 b = 2 + 7 = 9 d = -5 + 1 = -4 c = -3 + 6 = 3 The solution is y = (c - b)/(a - d) if a ≠ d 3 - 9 = -6 0 - -4 = 4 y = -6 / 4 The fraction -6 / 4 = -3 / 2. The solution is y = -3 / 2.
Solve for y: -10 + 6y - 6 = 7 + 5 .
The equation is in the form of ay + b = dy + c where: a = 6 b = -10 - 6 = -16 d = 0 c = 7 + 5 = 12 The solution is y = (c - b)/(a - d) if a ≠ d 12 - -16 = 28 6 - 0 = 6 y = 28 / 6 The fraction 28 / 6 = 14 / 3. The solution is y = 14 / 3.
Solve for y: -7y - 6y + 9 = 10y + 7 - 5y + 3 .
The equation is in the form of ay + b = dy + c where: a = -7 - 6 = -13 b = 9 d = 10 - 5 = 5 c = 7 + 3 = 10 The solution is y = (c - b)/(a - d) if a ≠ d 10 - 9 = 1 -13 - 5 = -18 y = 1 / -18 The solution is y = 1 / -18.
Solve for y: -10 = 3y + 1y + 3y - 6 .
The equation is in the form of ay + b = dy + c where: a = 0 b = -10 d = 3 + 1 + 3 = 7 c = -6 The solution is y = (c - b)/(a - d) if a ≠ d -6 - -10 = 4 0 - 7 = -7 y = 4 / -7 The solution is y = 4 / -7.
Solve for y: -4 + 6 = -8y + 10 .
The equation is in the form of ay + b = dy + c where: a = 0 b = -4 + 6 = 2 d = -8 c = 10 The solution is y = (c - b)/(a - d) if a ≠ d 10 - 2 = 8 0 - -8 = 8 y = 8 / 8 The fraction 8 / 8 = 1. The solution is y = 1.
Solve for y: 5y - 10 = 7 + 4 .
The equation is in the form of ay + b = dy + c where: a = 5 b = -10 d = 0 c = 7 + 4 = 11 The solution is y = (c - b)/(a - d) if a ≠ d 11 - -10 = 21 5 - 0 = 5 y = 21 / 5 The solution is y = 21 / 5.
Solve for y: 10 + 1 = 3 - 3y + 4 .
The equation is in the form of ay + b = dy + c where: a = 0 b = 10 + 1 = 11 d = -3 c = 3 + 4 = 7 The solution is y = (c - b)/(a - d) if a ≠ d 7 - 11 = -4 0 - -3 = 3 y = -4 / 3 The solution is y = -4 / 3.
Solve for y: 5y + 2y = -10y + 1 + 9y .
The equation is in the form of ay + b = dy + c where: a = 5 + 2 = 7 b = 0 d = -10 + 9 = -1 c = 1 The solution is y = (c - b)/(a - d) if a ≠ d 1 - 0 = 1 7 - -1 = 8 y = 1 / 8 The solution is y = 1 / 8.