3(y-5)(-y-1)=0

Solution for 3(y-5)(-y-1)=0 equation:

Simplifying
3(y + -5)(-1y + -1) = 0

Reorder the terms:
3(-5 + y)(-1y + -1) = 0

Reorder the terms:
3(-5 + y)(-1 + -1y) = 0

Multiply (-5 + y) * (-1 + -1y)
3(-5(-1 + -1y) + y(-1 + -1y)) = 0
3((-1 * -5 + -1y * -5) + y(-1 + -1y)) = 0
3((5 + 5y) + y(-1 + -1y)) = 0
3(5 + 5y + (-1 * y + -1y * y)) = 0
3(5 + 5y + (-1y + -1y2)) = 0

Combine like terms: 5y + -1y = 4y
3(5 + 4y + -1y2) = 0
(5 * 3 + 4y * 3 + -1y2 * 3) = 0
(15 + 12y + -3y2) = 0

Solving
15 + 12y + -3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + 4y + -1y2) = 0

Factor a trinomial.
3((5 + -1y)(1 + y)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

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

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

Divide each side by '-1'.
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}