3(2y-2)-2(y+6)=0

Solution for 3(2y-2)-2(y+6)=0 equation:

Simplifying
3(2y + -2) + -2(y + 6) = 0

Reorder the terms:
3(-2 + 2y) + -2(y + 6) = 0
(-2 * 3 + 2y * 3) + -2(y + 6) = 0
(-6 + 6y) + -2(y + 6) = 0

Reorder the terms:
-6 + 6y + -2(6 + y) = 0
-6 + 6y + (6 * -2 + y * -2) = 0
-6 + 6y + (-12 + -2y) = 0

Reorder the terms:
-6 + -12 + 6y + -2y = 0

Combine like terms: -6 + -12 = -18
-18 + 6y + -2y = 0

Combine like terms: 6y + -2y = 4y
-18 + 4y = 0

Solving
-18 + 4y = 0

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + 4y = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 4y = 0 + 18
4y = 0 + 18

Combine like terms: 0 + 18 = 18
4y = 18

Divide each side by '4'.
y = 4.5

Simplifying
y = 4.5