4y^2-4=6y

Solution for 4y^2-4=6y equation:

Simplifying
4y2 + -4 = 6y

Reorder the terms:
-4 + 4y2 = 6y

Solving
-4 + 4y2 = 6y

Solving for variable 'y'.

Reorder the terms:
-4 + -6y + 4y2 = 6y + -6y

Combine like terms: 6y + -6y = 0
-4 + -6y + 4y2 = 0

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

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

Ignore the factor 2.
Subproblem 1
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
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 = {-0.5, 2}