6-3[2-(2y-2)]=

Solution for 6-3[2-(2y-2)]= equation:

Simplifying
6 + -3[2 + -1(2y + -2)] = 0

Reorder the terms:
6 + -3[2 + -1(-2 + 2y)] = 0
6 + -3[2 + (-2 * -1 + 2y * -1)] = 0
6 + -3[2 + (2 + -2y)] = 0

Combine like terms: 2 + 2 = 4
6 + -3[4 + -2y] = 0
6 + [4 * -3 + -2y * -3] = 0
6 + [-12 + 6y] = 0

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

Solving
-6 + 6y = 0

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 6y = 0 + 6

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

Combine like terms: 0 + 6 = 6
6y = 6

Divide each side by '6'.
y = 1

Simplifying
y = 1