-8y=3y^2-3

Solution for -8y=3y^2-3 equation:

Simplifying
-8y = 3y2 + -3

Reorder the terms:
-8y = -3 + 3y2

Solving
-8y = -3 + 3y2

Solving for variable 'y'.

Reorder the terms:
3 + -8y + -3y2 = -3 + 3y2 + 3 + -3y2

Reorder the terms:
3 + -8y + -3y2 = -3 + 3 + 3y2 + -3y2

Combine like terms: -3 + 3 = 0
3 + -8y + -3y2 = 0 + 3y2 + -3y2
3 + -8y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
3 + -8y + -3y2 = 0

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

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

Simplifying
1 + -3y = 0

Solving
1 + -3y = 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 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Subproblem 2
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
Solution
y = {0.3333333333, -3}