(-5y^2+y)+(6y^2+2y)=

Solution for (-5y^2+y)+(6y^2+2y)= equation:

Simplifying
(-5y2 + y) + (6y2 + 2y) = 0

Reorder the terms:
(y + -5y2) + (6y2 + 2y) = 0

Remove parenthesis around (y + -5y2)
y + -5y2 + (6y2 + 2y) = 0

Reorder the terms:
y + -5y2 + (2y + 6y2) = 0

Remove parenthesis around (2y + 6y2)
y + -5y2 + 2y + 6y2 = 0

Reorder the terms:
y + 2y + -5y2 + 6y2 = 0

Combine like terms: y + 2y = 3y
3y + -5y2 + 6y2 = 0

Combine like terms: -5y2 + 6y2 = 1y2
3y + 1y2 = 0

Solving
3y + 1y2 = 0

Solving for variable 'y'.

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}