5y^2-6=15

Solution for 5y^2-6=15 equation:

Simplifying
5y2 + -6 = 15

Reorder the terms:
-6 + 5y2 = 15

Solving
-6 + 5y2 = 15

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 5y2 = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 5y2 = 15 + 6
5y2 = 15 + 6

Combine like terms: 15 + 6 = 21
5y2 = 21

Divide each side by '5'.
y2 = 4.2

Simplifying
y2 = 4.2

Take the square root of each side:
y = {-2.049390153, 2.049390153}