(y+6)(y-1)=0

Solution for (y+6)(y-1)=0 equation:

Simplifying
(y + 6)(y + -1) = 0

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

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

Multiply (6 + y) * (-1 + y)
(6(-1 + y) + y(-1 + y)) = 0
((-1 * 6 + y * 6) + y(-1 + y)) = 0
((-6 + 6y) + y(-1 + y)) = 0
(-6 + 6y + (-1 * y + y * y)) = 0
(-6 + 6y + (-1y + y2)) = 0

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

Solving
-6 + 5y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -1y)(1 + -1y) = 0

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

Simplifying
-6 + -1y = 0

Solving
-6 + -1y = 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 + -1y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = 0 + 6
-1y = 0 + 6

Combine like terms: 0 + 6 = 6
-1y = 6

Divide each side by '-1'.
y = -6

Simplifying
y = -6
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

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

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

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

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Solution
y = {-6, 1}