-8y-3=4y^2

Solution for -8y-3=4y^2 equation:

Simplifying
-8y + -3 = 4y2

Reorder the terms:
-3 + -8y = 4y2

Solving
-3 + -8y = 4y2

Solving for variable 'y'.

Combine like terms: 4y2 + -4y2 = 0
-3 + -8y + -4y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 8y + 4y2) = 0

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

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + 2y)' equal to zero and attempt to solve:

Simplifying
3 + 2y = 0

Solving
3 + 2y = 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 + 2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 0 + -3
2y = 0 + -3

Combine like terms: 0 + -3 = -3
2y = -3

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5
Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve:

Simplifying
1 + 2y = 0

Solving
1 + 2y = 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 + 2y = 0 + -1

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

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

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5
Solution
y = {-1.5, -0.5}