4y^2+4(6y^2-8)=

Solution for 4y^2+4(6y^2-8)= equation:

Simplifying
4y2 + 4(6y2 + -8) = 0

Reorder the terms:
4y2 + 4(-8 + 6y2) = 0
4y2 + (-8 * 4 + 6y2 * 4) = 0
4y2 + (-32 + 24y2) = 0

Reorder the terms:
-32 + 4y2 + 24y2 = 0

Combine like terms: 4y2 + 24y2 = 28y2
-32 + 28y2 = 0

Solving
-32 + 28y2 = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '32' to each side of the equation.
-32 + 32 + 28y2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 28y2 = 0 + 32
28y2 = 0 + 32

Combine like terms: 0 + 32 = 32
28y2 = 32

Divide each side by '28'.
y2 = 1.142857143

Simplifying
y2 = 1.142857143

Take the square root of each side:
y = {-1.069044968, 1.069044968}