(y+2)(y+8)=-8

Solution for (y+2)(y+8)=-8 equation:

Simplifying
(y + 2)(y + 8) = -8

Reorder the terms:
(2 + y)(y + 8) = -8

Reorder the terms:
(2 + y)(8 + y) = -8

Multiply (2 + y) * (8 + y)
(2(8 + y) + y(8 + y)) = -8
((8 * 2 + y * 2) + y(8 + y)) = -8
((16 + 2y) + y(8 + y)) = -8
(16 + 2y + (8 * y + y * y)) = -8
(16 + 2y + (8y + y2)) = -8

Combine like terms: 2y + 8y = 10y
(16 + 10y + y2) = -8

Solving
16 + 10y + y2 = -8

Solving for variable 'y'.

Reorder the terms:
16 + 8 + 10y + y2 = -8 + 8

Combine like terms: 16 + 8 = 24
24 + 10y + y2 = -8 + 8

Combine like terms: -8 + 8 = 0
24 + 10y + y2 = 0

Factor a trinomial.
(6 + y)(4 + y) = 0

Subproblem 1
Set the factor '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

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

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

Simplifying
y = -6
Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

Add '-4' to each side of the equation.
4 + -4 + y = 0 + -4

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

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

Simplifying
y = -4
Solution
y = {-6, -4}