2y^2+6=15

Solution for 2y^2+6=15 equation:

Simplifying
2y2 + 6 = 15

Reorder the terms:
6 + 2y2 = 15

Solving
6 + 2y2 = 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 + 2y2 = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 2y2 = 15 + -6
2y2 = 15 + -6

Combine like terms: 15 + -6 = 9
2y2 = 9

Divide each side by '2'.
y2 = 4.5

Simplifying
y2 = 4.5

Take the square root of each side:
y = {-2.121320344, 2.121320344}