y^2+12y+16=5y+4

Solution for y^2+12y+16=5y+4 equation:

Simplifying
y2 + 12y + 16 = 5y + 4

Reorder the terms:
16 + 12y + y2 = 5y + 4

Reorder the terms:
16 + 12y + y2 = 4 + 5y

Solving
16 + 12y + y2 = 4 + 5y

Solving for variable 'y'.

Reorder the terms:
16 + -4 + 12y + -5y + y2 = 4 + 5y + -4 + -5y

Combine like terms: 16 + -4 = 12
12 + 12y + -5y + y2 = 4 + 5y + -4 + -5y

Combine like terms: 12y + -5y = 7y
12 + 7y + y2 = 4 + 5y + -4 + -5y

Reorder the terms:
12 + 7y + y2 = 4 + -4 + 5y + -5y

Combine like terms: 4 + -4 = 0
12 + 7y + y2 = 0 + 5y + -5y
12 + 7y + y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
12 + 7y + y2 = 0

Factor a trinomial.
(4 + y)(3 + y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 0

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

Add '-3' to each side of the equation.
3 + -3 + y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + y = 0 + -3
y = 0 + -3

Combine like terms: 0 + -3 = -3
y = -3

Simplifying
y = -3
Solution
y = {-4, -3}