12y^2-144=3y^2

Solution for 12y^2-144=3y^2 equation:

Simplifying
12y2 + -144 = 3y2

Reorder the terms:
-144 + 12y2 = 3y2

Solving
-144 + 12y2 = 3y2

Solving for variable 'y'.

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

Add '-3y2' to each side of the equation.
-144 + 12y2 + -3y2 = 3y2 + -3y2

Combine like terms: 12y2 + -3y2 = 9y2
-144 + 9y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-144 + 9y2 = 0

Add '144' to each side of the equation.
-144 + 144 + 9y2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 9y2 = 0 + 144
9y2 = 0 + 144

Combine like terms: 0 + 144 = 144
9y2 = 144

Divide each side by '9'.
y2 = 16

Simplifying
y2 = 16

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