12-[4-2(y+1)]*2=2y+6

Solution for 12-[4-2(y+1)]*2=2y+6 equation:

Simplifying
12 + -1[4 + -2(y + 1)] * 2 = 2y + 6

Reorder the terms:
12 + -1[4 + -2(1 + y)] * 2 = 2y + 6
12 + -1[4 + (1 * -2 + y * -2)] * 2 = 2y + 6
12 + -1[4 + (-2 + -2y)] * 2 = 2y + 6

Combine like terms: 4 + -2 = 2
12 + -1[2 + -2y] * 2 = 2y + 6

Reorder the terms for easier multiplication:
12 + -1 * 2[2 + -2y] = 2y + 6

Multiply -1 * 2
12 + -2[2 + -2y] = 2y + 6
12 + [2 * -2 + -2y * -2] = 2y + 6
12 + [-4 + 4y] = 2y + 6

Combine like terms: 12 + -4 = 8
8 + 4y = 2y + 6

Reorder the terms:
8 + 4y = 6 + 2y

Solving
8 + 4y = 6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
8 + 4y + -2y = 6 + 2y + -2y

Combine like terms: 4y + -2y = 2y
8 + 2y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 2y = 6 + 0
8 + 2y = 6

Add '-8' to each side of the equation.
8 + -8 + 2y = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 2y = 6 + -8
2y = 6 + -8

Combine like terms: 6 + -8 = -2
2y = -2

Divide each side by '2'.
y = -1

Simplifying
y = -1