3y^2+22y+60=-14y-48

Solution for 3y^2+22y+60=-14y-48 equation:

Simplifying
3y2 + 22y + 60 = -14y + -48

Reorder the terms:
60 + 22y + 3y2 = -14y + -48

Reorder the terms:
60 + 22y + 3y2 = -48 + -14y

Solving
60 + 22y + 3y2 = -48 + -14y

Solving for variable 'y'.

Reorder the terms:
60 + 48 + 22y + 14y + 3y2 = -48 + -14y + 48 + 14y

Combine like terms: 60 + 48 = 108
108 + 22y + 14y + 3y2 = -48 + -14y + 48 + 14y

Combine like terms: 22y + 14y = 36y
108 + 36y + 3y2 = -48 + -14y + 48 + 14y

Reorder the terms:
108 + 36y + 3y2 = -48 + 48 + -14y + 14y

Combine like terms: -48 + 48 = 0
108 + 36y + 3y2 = 0 + -14y + 14y
108 + 36y + 3y2 = -14y + 14y

Combine like terms: -14y + 14y = 0
108 + 36y + 3y2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(36 + 12y + y2) = 0

Factor a trinomial.
3((6 + y)(6 + y)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
Subproblem 2
Set the factor '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
Solution
y = {-6, -6}