(y+4)(y+8)=

Solution for (y+4)(y+8)= equation:

Simplifying
(y + 4)(y + 8) = 0

Reorder the terms:
(4 + y)(y + 8) = 0

Reorder the terms:
(4 + y)(8 + y) = 0

Multiply (4 + y) * (8 + y)
(4(8 + y) + y(8 + y)) = 0
((8 * 4 + y * 4) + y(8 + y)) = 0
((32 + 4y) + y(8 + y)) = 0
(32 + 4y + (8 * y + y * y)) = 0
(32 + 4y + (8y + y2)) = 0

Combine like terms: 4y + 8y = 12y
(32 + 12y + y2) = 0

Solving
32 + 12y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(8 + y)' equal to zero and attempt to solve:

Simplifying
8 + y = 0

Solving
8 + y = 0

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

Add '-8' to each side of the equation.
8 + -8 + y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + y = 0 + -8
y = 0 + -8

Combine like terms: 0 + -8 = -8
y = -8

Simplifying
y = -8
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 = {-8, -4}