y(y-6)=-8

Solution for y(y-6)=-8 equation:

Simplifying
y(y + -6) = -8

Reorder the terms:
y(-6 + y) = -8
(-6 * y + y * y) = -8
(-6y + y2) = -8

Solving
-6y + y2 = -8

Solving for variable 'y'.

Reorder the terms:
8 + -6y + y2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + -6y + y2 = 0

Factor a trinomial.
(2 + -1y)(4 + -1y) = 0

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {2, 4}