5y-5+2(4y+8)=-3(y+1)

Solution for 5y-5+2(4y+8)=-3(y+1) equation:

Simplifying
5y + -5 + 2(4y + 8) = -3(y + 1)

Reorder the terms:
5y + -5 + 2(8 + 4y) = -3(y + 1)
5y + -5 + (8 * 2 + 4y * 2) = -3(y + 1)
5y + -5 + (16 + 8y) = -3(y + 1)

Reorder the terms:
-5 + 16 + 5y + 8y = -3(y + 1)

Combine like terms: -5 + 16 = 11
11 + 5y + 8y = -3(y + 1)

Combine like terms: 5y + 8y = 13y
11 + 13y = -3(y + 1)

Reorder the terms:
11 + 13y = -3(1 + y)
11 + 13y = (1 * -3 + y * -3)
11 + 13y = (-3 + -3y)

Solving
11 + 13y = -3 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
11 + 13y + 3y = -3 + -3y + 3y

Combine like terms: 13y + 3y = 16y
11 + 16y = -3 + -3y + 3y

Combine like terms: -3y + 3y = 0
11 + 16y = -3 + 0
11 + 16y = -3

Add '-11' to each side of the equation.
11 + -11 + 16y = -3 + -11

Combine like terms: 11 + -11 = 0
0 + 16y = -3 + -11
16y = -3 + -11

Combine like terms: -3 + -11 = -14
16y = -14

Divide each side by '16'.
y = -0.875

Simplifying
y = -0.875