9=(y+2)(y+2)

Solution for 9=(y+2)(y+2) equation:

Simplifying
9 = (y + 2)(y + 2)

Reorder the terms:
9 = (2 + y)(y + 2)

Reorder the terms:
9 = (2 + y)(2 + y)

Multiply (2 + y) * (2 + y)
9 = (2(2 + y) + y(2 + y))
9 = ((2 * 2 + y * 2) + y(2 + y))
9 = ((4 + 2y) + y(2 + y))
9 = (4 + 2y + (2 * y + y * y))
9 = (4 + 2y + (2y + y2))

Combine like terms: 2y + 2y = 4y
9 = (4 + 4y + y2)

Solving
9 = 4 + 4y + y2

Solving for variable 'y'.

Combine like terms: 9 + -4 = 5
5 + -4y + -1y2 = 4 + 4y + y2 + -4 + -4y + -1y2

Reorder the terms:
5 + -4y + -1y2 = 4 + -4 + 4y + -4y + y2 + -1y2

Combine like terms: 4 + -4 = 0
5 + -4y + -1y2 = 0 + 4y + -4y + y2 + -1y2
5 + -4y + -1y2 = 4y + -4y + y2 + -1y2

Combine like terms: 4y + -4y = 0
5 + -4y + -1y2 = 0 + y2 + -1y2
5 + -4y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
5 + -4y + -1y2 = 0

Factor a trinomial.
(1 + -1y)(5 + y) = 0

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

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

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

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Subproblem 2
Set the factor '(5 + y)' equal to zero and attempt to solve:

Simplifying
5 + y = 0

Solving
5 + y = 0

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

Add '-5' to each side of the equation.
5 + -5 + y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + y = 0 + -5
y = 0 + -5

Combine like terms: 0 + -5 = -5
y = -5

Simplifying
y = -5
Solution
y = {1, -5}