3(2y-2)=-3y+12

Solution for 3(2y-2)=-3y+12 equation:

Simplifying
3(2y + -2) = -3y + 12

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

Reorder the terms:
-6 + 6y = 12 + -3y

Solving
-6 + 6y = 12 + -3y

Solving for variable 'y'.

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

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

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

Combine like terms: -3y + 3y = 0
-6 + 9y = 12 + 0
-6 + 9y = 12

Add '6' to each side of the equation.
-6 + 6 + 9y = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 9y = 12 + 6
9y = 12 + 6

Combine like terms: 12 + 6 = 18
9y = 18

Divide each side by '9'.
y = 2

Simplifying
y = 2