Moving system for moving a roller for working or cleaning a piece, said moving system comprising: - an actuator (1; 7,8,9) movable along a reference axis (X,C), - a beam couplable to a supporting element for supporting said roller, wherein said beam has a longitudinal axis, parallel to said reference axis (X, C), characterised in that, the moving system further comprises: - at least one first arm rotatably connected to said beam so as to rotate around a first axis, perpendicular to said longitudinal axis of said beam, - at least one second arm rotatably connected to said beam so as to rotate around a second axis, parallel to said first axis, where said second arm and said first arm are connected to each other, and said actuator (1; 7,8,9) is connected to said first arm or to said second arm and configured to move said first arm or said second arm, so that the movement of said actuator (1; 7,8,9) causes the rotation of said first arm around said first axis respectively in a first direction or in a second direction on a first plane perpendicular to said first axis, and the rotation of said first arm causes the rotation of said second arm around said second axis respectively in a first direction or in a second direction on a second plane perpendicular to said second axis, or the rotation of said second arm around said second axis respectively in a first direction or in a second direction on a second plane perpendicular to said second axis, and rotation of said second arm causes rotation of said first arm around said first axis respectively in a first direction or in a second direction on a first plane, perpendicular to said first axis, where the rotations of said first arm and of said second arm in said first direction and in said second direction respectively cause said beam to be lifted and lowered according to a circular oscillatory motion, so that the roller is respectively lifted and lowered according to the same motion. - an actuator (1; 7,8,9) movable along a reference axis (X,C), - a beam couplable to a supporting element for supporting said roller, wherein said beam has a longitudinal axis, parallel to said reference axis (X, C), - at least one first arm rotatably connected to said beam so as to rotate around a first axis, perpendicular to said longitudinal axis of said beam, - at least one second arm rotatably connected to said beam so as to rotate around a second axis, parallel to said first axis, where said second arm and said first arm are connected to each other, and said actuator (1; 7,8,9) is connected to said first arm or to said second arm and configured to move said first arm or said second arm, so that the movement of said actuator (1; 7,8,9) causes the rotation of said first arm around said first axis respectively in a first direction or in a second direction on a first plane perpendicular to said first axis, and the rotation of said first arm causes the rotation of said second arm around said second axis respectively in a first direction or in a second direction on a second plane perpendicular to said second axis, or the rotation of said second arm around said second axis respectively in a first direction or in a second direction on a second plane perpendicular to said second axis, and rotation of said second arm causes rotation of said first arm around said first axis respectively in a first direction or in a second direction on a first plane, perpendicular to said first axis, where the rotations of said first arm and of said second arm in said first direction and in said second direction respectively cause said beam to be lifted and lowered according to a circular oscillatory motion, so that the roller is respectively lifted and lowered according to the same motion. said second arm and said first arm are connected to each other, and said actuator (1; 7,8,9) is connected to said first arm or to said second arm and configured to move said first arm or said second arm, so that the movement of said actuator (1; 7,8,9) causes the rotation of said first arm around said first axis respectively in a first direction or in a second direction on a first plane perpendicular to said first axis, and the rotation of said first arm causes the rotation of said second arm around said second axis respectively in a first direction or in a second direction on a second plane perpendicular to said second axis, or the rotation of said second arm around said second axis respectively in a first direction or in a second direction on a second plane perpendicular to said second axis, and rotation of said second arm causes rotation of said first arm around said first axis respectively in a first direction or in a second direction on a first plane, perpendicular to said first axis, where the rotations of said first arm and of said second arm in said first direction and in said second direction respectively cause said beam to be lifted and lowered according to a circular oscillatory motion, so that the roller is respectively lifted and lowered according to the same motion.