y^2+4y=-4

Solution for y^2+4y=-4 equation:

Simplifying
y2 + 4y = -4

Reorder the terms:
4y + y2 = -4

Solving
4y + y2 = -4

Solving for variable 'y'.

Reorder the terms:
4 + 4y + y2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 4y + y2 = 0

Factor a trinomial.
(2 + y)(2 + y) = 0

Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

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

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {-2, -2}