(8y-12)=y^2

Solution for (8y-12)=y^2 equation:

Simplifying
(8y + -12) = y2

Reorder the terms:
(-12 + 8y) = y2

Remove parenthesis around (-12 + 8y)
-12 + 8y = y2

Solving
-12 + 8y = y2

Solving for variable 'y'.

Combine like terms: y2 + -1y2 = 0
-12 + 8y + -1y2 = 0

Factor a trinomial.
(-6 + y)(2 + -1y) = 0

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 '(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
Solution
y = {6, 2}