y^2+9y=-8

Solution for y^2+9y=-8 equation:

Simplifying
y2 + 9y = -8

Reorder the terms:
9y + y2 = -8

Solving
9y + y2 = -8

Solving for variable 'y'.

Reorder the terms:
8 + 9y + y2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 9y + y2 = 0

Factor a trinomial.
(8 + y)(1 + 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 '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Simplifying
y = -1
Solution
y = {-8, -1}