6y^2-54=0

Solution for 6y^2-54=0 equation:

Simplifying
6y2 + -54 = 0

Reorder the terms:
-54 + 6y2 = 0

Solving
-54 + 6y2 = 0

Solving for variable 'y'.

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

Add '54' to each side of the equation.
-54 + 54 + 6y2 = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 6y2 = 0 + 54
6y2 = 0 + 54

Combine like terms: 0 + 54 = 54
6y2 = 54

Divide each side by '6'.
y2 = 9

Simplifying
y2 = 9

Take the square root of each side:
y = {-3, 3}