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

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

Simplifying
2(2 + -4(y + -1)) = 2(2y + 3)

Reorder the terms:
2(2 + -4(-1 + y)) = 2(2y + 3)
2(2 + (-1 * -4 + y * -4)) = 2(2y + 3)
2(2 + (4 + -4y)) = 2(2y + 3)

Combine like terms: 2 + 4 = 6
2(6 + -4y) = 2(2y + 3)
(6 * 2 + -4y * 2) = 2(2y + 3)
(12 + -8y) = 2(2y + 3)

Reorder the terms:
12 + -8y = 2(3 + 2y)
12 + -8y = (3 * 2 + 2y * 2)
12 + -8y = (6 + 4y)

Solving
12 + -8y = 6 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
12 + -8y + -4y = 6 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
12 + -12y = 6 + 0
12 + -12y = 6

Add '-12' to each side of the equation.
12 + -12 + -12y = 6 + -12

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

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

Divide each side by '-12'.
y = 0.5

Simplifying
y = 0.5