5(y+8)+2(y+1)=0

Solution for 5(y+8)+2(y+1)=0 equation:

Simplifying
5(y + 8) + 2(y + 1) = 0

Reorder the terms:
5(8 + y) + 2(y + 1) = 0
(8 * 5 + y * 5) + 2(y + 1) = 0
(40 + 5y) + 2(y + 1) = 0

Reorder the terms:
40 + 5y + 2(1 + y) = 0
40 + 5y + (1 * 2 + y * 2) = 0
40 + 5y + (2 + 2y) = 0

Reorder the terms:
40 + 2 + 5y + 2y = 0

Combine like terms: 40 + 2 = 42
42 + 5y + 2y = 0

Combine like terms: 5y + 2y = 7y
42 + 7y = 0

Solving
42 + 7y = 0

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + 7y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 7y = 0 + -42
7y = 0 + -42

Combine like terms: 0 + -42 = -42
7y = -42

Divide each side by '7'.
y = -6

Simplifying
y = -6