-5-4(-2y-2)=-6(2y+1)-7

Solution for -5-4(-2y-2)=-6(2y+1)-7 equation:

Simplifying
-5 + -4(-2y + -2) = -6(2y + 1) + -7

Reorder the terms:
-5 + -4(-2 + -2y) = -6(2y + 1) + -7
-5 + (-2 * -4 + -2y * -4) = -6(2y + 1) + -7
-5 + (8 + 8y) = -6(2y + 1) + -7

Combine like terms: -5 + 8 = 3
3 + 8y = -6(2y + 1) + -7

Reorder the terms:
3 + 8y = -6(1 + 2y) + -7
3 + 8y = (1 * -6 + 2y * -6) + -7
3 + 8y = (-6 + -12y) + -7

Reorder the terms:
3 + 8y = -6 + -7 + -12y

Combine like terms: -6 + -7 = -13
3 + 8y = -13 + -12y

Solving
3 + 8y = -13 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
3 + 8y + 12y = -13 + -12y + 12y

Combine like terms: 8y + 12y = 20y
3 + 20y = -13 + -12y + 12y

Combine like terms: -12y + 12y = 0
3 + 20y = -13 + 0
3 + 20y = -13

Add '-3' to each side of the equation.
3 + -3 + 20y = -13 + -3

Combine like terms: 3 + -3 = 0
0 + 20y = -13 + -3
20y = -13 + -3

Combine like terms: -13 + -3 = -16
20y = -16

Divide each side by '20'.
y = -0.8

Simplifying
y = -0.8