y^2+4y+3=y+3

Solution for y^2+4y+3=y+3 equation:

Simplifying
y2 + 4y + 3 = y + 3

Reorder the terms:
3 + 4y + y2 = y + 3

Reorder the terms:
3 + 4y + y2 = 3 + y

Add '-3' to each side of the equation.
3 + 4y + -3 + y2 = 3 + -3 + y

Reorder the terms:
3 + -3 + 4y + y2 = 3 + -3 + y

Combine like terms: 3 + -3 = 0
0 + 4y + y2 = 3 + -3 + y
4y + y2 = 3 + -3 + y

Combine like terms: 3 + -3 = 0
4y + y2 = 0 + y
4y + y2 = y

Solving
4y + y2 = y

Solving for variable 'y'.

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

Combine like terms: 4y + -1y = 3y
3y + y2 = y + -1y

Combine like terms: y + -1y = 0
3y + y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(3 + y) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
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 = {0, -3}