-3(3y-1)+9y=6+6(2y-2)

Solution for -3(3y-1)+9y=6+6(2y-2) equation:

Simplifying
-3(3y + -1) + 9y = 6 + 6(2y + -2)

Reorder the terms:
-3(-1 + 3y) + 9y = 6 + 6(2y + -2)
(-1 * -3 + 3y * -3) + 9y = 6 + 6(2y + -2)
(3 + -9y) + 9y = 6 + 6(2y + -2)

Combine like terms: -9y + 9y = 0
3 + 0 = 6 + 6(2y + -2)
3 = 6 + 6(2y + -2)

Reorder the terms:
3 = 6 + 6(-2 + 2y)
3 = 6 + (-2 * 6 + 2y * 6)
3 = 6 + (-12 + 12y)

Combine like terms: 6 + -12 = -6
3 = -6 + 12y

Solving
3 = -6 + 12y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-12y' to each side of the equation.
3 + -12y = -6 + 12y + -12y

Combine like terms: 12y + -12y = 0
3 + -12y = -6 + 0
3 + -12y = -6

Add '-3' to each side of the equation.
3 + -3 + -12y = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -12y = -6 + -3
-12y = -6 + -3

Combine like terms: -6 + -3 = -9
-12y = -9

Divide each side by '-12'.
y = 0.75

Simplifying
y = 0.75