4y^2=6y^2-32

Solution for 4y^2=6y^2-32 equation:

Simplifying
4y2 = 6y2 + -32

Reorder the terms:
4y2 = -32 + 6y2

Solving
4y2 = -32 + 6y2

Solving for variable 'y'.

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

Add '-6y2' to each side of the equation.
4y2 + -6y2 = -32 + 6y2 + -6y2

Combine like terms: 4y2 + -6y2 = -2y2
-2y2 = -32 + 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
-2y2 = -32 + 0
-2y2 = -32

Divide each side by '-2'.
y2 = 16

Simplifying
y2 = 16

Take the square root of each side:
y = {-4, 4}