(y+3)(y+3)=4

Solution for (y+3)(y+3)=4 equation:

Simplifying
(y + 3)(y + 3) = 4

Reorder the terms:
(3 + y)(y + 3) = 4

Reorder the terms:
(3 + y)(3 + y) = 4

Multiply (3 + y) * (3 + y)
(3(3 + y) + y(3 + y)) = 4
((3 * 3 + y * 3) + y(3 + y)) = 4
((9 + 3y) + y(3 + y)) = 4
(9 + 3y + (3 * y + y * y)) = 4
(9 + 3y + (3y + y2)) = 4

Combine like terms: 3y + 3y = 6y
(9 + 6y + y2) = 4

Solving
9 + 6y + y2 = 4

Solving for variable 'y'.

Reorder the terms:
9 + -4 + 6y + y2 = 4 + -4

Combine like terms: 9 + -4 = 5
5 + 6y + y2 = 4 + -4

Combine like terms: 4 + -4 = 0
5 + 6y + y2 = 0

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

Subproblem 1
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
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 = {-5, -1}