4y^2-32=112

Solution for 4y^2-32=112 equation:

Simplifying
4y2 + -32 = 112

Reorder the terms:
-32 + 4y2 = 112

Solving
-32 + 4y2 = 112

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 + 4y2 = 112 + 32

Combine like terms: -32 + 32 = 0
0 + 4y2 = 112 + 32
4y2 = 112 + 32

Combine like terms: 112 + 32 = 144
4y2 = 144

Divide each side by '4'.
y2 = 36

Simplifying
y2 = 36

Take the square root of each side:
y = {-6, 6}