4+2[4-(3+y)]=-2(y-1)-4+y

Solution for 4+2[4-(3+y)]=-2(y-1)-4+y equation:

Simplifying
4 + 2[4 + -1(3 + y)] = -2(y + -1) + -4 + y
4 + 2[4 + (3 * -1 + y * -1)] = -2(y + -1) + -4 + y
4 + 2[4 + (-3 + -1y)] = -2(y + -1) + -4 + y

Combine like terms: 4 + -3 = 1
4 + 2[1 + -1y] = -2(y + -1) + -4 + y
4 + [1 * 2 + -1y * 2] = -2(y + -1) + -4 + y
4 + [2 + -2y] = -2(y + -1) + -4 + y

Combine like terms: 4 + 2 = 6
6 + -2y = -2(y + -1) + -4 + y

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

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

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

Combine like terms: -2y + y = -1y
6 + -2y = -2 + -1y

Solving
6 + -2y = -2 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
6 + -2y + y = -2 + -1y + y

Combine like terms: -2y + y = -1y
6 + -1y = -2 + -1y + y

Combine like terms: -1y + y = 0
6 + -1y = -2 + 0
6 + -1y = -2

Add '-6' to each side of the equation.
6 + -6 + -1y = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = -2 + -6
-1y = -2 + -6

Combine like terms: -2 + -6 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8