3y^2-15=3-3y^2

Solution for 3y^2-15=3-3y^2 equation:

Simplifying
3y2 + -15 = 3 + -3y2

Reorder the terms:
-15 + 3y2 = 3 + -3y2

Solving
-15 + 3y2 = 3 + -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.
-15 + 3y2 + 3y2 = 3 + -3y2 + 3y2

Combine like terms: 3y2 + 3y2 = 6y2
-15 + 6y2 = 3 + -3y2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
-15 + 6y2 = 3 + 0
-15 + 6y2 = 3

Add '15' to each side of the equation.
-15 + 15 + 6y2 = 3 + 15

Combine like terms: -15 + 15 = 0
0 + 6y2 = 3 + 15
6y2 = 3 + 15

Combine like terms: 3 + 15 = 18
6y2 = 18

Divide each side by '6'.
y2 = 3

Simplifying
y2 = 3

Take the square root of each side:
y = {-1.732050808, 1.732050808}