7y^2-36=3y^2

Solution for 7y^2-36=3y^2 equation:

Simplifying
7y2 + -36 = 3y2

Reorder the terms:
-36 + 7y2 = 3y2

Solving
-36 + 7y2 = 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.
-36 + 7y2 + -3y2 = 3y2 + -3y2

Combine like terms: 7y2 + -3y2 = 4y2
-36 + 4y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-36 + 4y2 = 0

Add '36' to each side of the equation.
-36 + 36 + 4y2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 4y2 = 0 + 36
4y2 = 0 + 36

Combine like terms: 0 + 36 = 36
4y2 = 36

Divide each side by '4'.
y2 = 9

Simplifying
y2 = 9

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