2[2-4(y-1)]=2(2y+5)

Solution for 2[2-4(y-1)]=2(2y+5) equation:

Simplifying
2[2 + -4(y + -1)] = 2(2y + 5)

Reorder the terms:
2[2 + -4(-1 + y)] = 2(2y + 5)
2[2 + (-1 * -4 + y * -4)] = 2(2y + 5)
2[2 + (4 + -4y)] = 2(2y + 5)

Combine like terms: 2 + 4 = 6
2[6 + -4y] = 2(2y + 5)
[6 * 2 + -4y * 2] = 2(2y + 5)
[12 + -8y] = 2(2y + 5)

Reorder the terms:
12 + -8y = 2(5 + 2y)
12 + -8y = (5 * 2 + 2y * 2)
12 + -8y = (10 + 4y)

Solving
12 + -8y = 10 + 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 = 10 + 4y + -4y

Combine like terms: -8y + -4y = -12y
12 + -12y = 10 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + -12y = 10 + 0
12 + -12y = 10

Add '-12' to each side of the equation.
12 + -12 + -12y = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -12y = 10 + -12
-12y = 10 + -12

Combine like terms: 10 + -12 = -2
-12y = -2

Divide each side by '-12'.
y = 0.1666666667

Simplifying
y = 0.1666666667