9y^2-24+16=0

Solution for 9y^2-24+16=0 equation:

Simplifying
9y2 + -24 + 16 = 0

Reorder the terms:
-24 + 16 + 9y2 = 0

Combine like terms: -24 + 16 = -8
-8 + 9y2 = 0

Solving
-8 + 9y2 = 0

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 9y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 9y2 = 0 + 8
9y2 = 0 + 8

Combine like terms: 0 + 8 = 8
9y2 = 8

Divide each side by '9'.
y2 = 0.8888888889

Simplifying
y2 = 0.8888888889

Take the square root of each side:
y = {-0.942809042, 0.942809042}