6y^2-216=0

Solution for 6y^2-216=0 equation:

Simplifying
6y2 + -216 = 0

Reorder the terms:
-216 + 6y2 = 0

Solving
-216 + 6y2 = 0

Solving for variable 'y'.

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

Add '216' to each side of the equation.
-216 + 216 + 6y2 = 0 + 216

Combine like terms: -216 + 216 = 0
0 + 6y2 = 0 + 216
6y2 = 0 + 216

Combine like terms: 0 + 216 = 216
6y2 = 216

Divide each side by '6'.
y2 = 36

Simplifying
y2 = 36

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