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

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

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

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

Combine like terms: 3 + 2 = 5
6 + -2[5 + -2y] = 0
6 + [5 * -2 + -2y * -2] = 0
6 + [-10 + 4y] = 0

Combine like terms: 6 + -10 = -4
-4 + 4y = 0

Solving
-4 + 4y = 0

Solving for variable 'y'.

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

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

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

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

Divide each side by '4'.
y = 1

Simplifying
y = 1