2(2y+1)=-2(y-1)-30

Solution for 2(2y+1)=-2(y-1)-30 equation:

Simplifying
2(2y + 1) = -2(y + -1) + -30

Reorder the terms:
2(1 + 2y) = -2(y + -1) + -30
(1 * 2 + 2y * 2) = -2(y + -1) + -30
(2 + 4y) = -2(y + -1) + -30

Reorder the terms:
2 + 4y = -2(-1 + y) + -30
2 + 4y = (-1 * -2 + y * -2) + -30
2 + 4y = (2 + -2y) + -30

Reorder the terms:
2 + 4y = 2 + -30 + -2y

Combine like terms: 2 + -30 = -28
2 + 4y = -28 + -2y

Solving
2 + 4y = -28 + -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.
2 + 4y + 2y = -28 + -2y + 2y

Combine like terms: 4y + 2y = 6y
2 + 6y = -28 + -2y + 2y

Combine like terms: -2y + 2y = 0
2 + 6y = -28 + 0
2 + 6y = -28

Add '-2' to each side of the equation.
2 + -2 + 6y = -28 + -2

Combine like terms: 2 + -2 = 0
0 + 6y = -28 + -2
6y = -28 + -2

Combine like terms: -28 + -2 = -30
6y = -30

Divide each side by '6'.
y = -5

Simplifying
y = -5