8y=2y^2+6

Solution for 8y=2y^2+6 equation:

Simplifying
8y = 2y2 + 6

Reorder the terms:
8y = 6 + 2y2

Solving
8y = 6 + 2y2

Solving for variable 'y'.

Reorder the terms:
-6 + 8y + -2y2 = 6 + 2y2 + -6 + -2y2

Reorder the terms:
-6 + 8y + -2y2 = 6 + -6 + 2y2 + -2y2

Combine like terms: 6 + -6 = 0
-6 + 8y + -2y2 = 0 + 2y2 + -2y2
-6 + 8y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-6 + 8y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 4y + -1y2) = 0

Factor a trinomial.
2((-3 + y)(1 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
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
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 = {3, 1}