2y^2-6=7

Solution for 2y^2-6=7 equation:

Simplifying
2y2 + -6 = 7

Reorder the terms:
-6 + 2y2 = 7

Solving
-6 + 2y2 = 7

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 = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 2y2 = 7 + 6
2y2 = 7 + 6

Combine like terms: 7 + 6 = 13
2y2 = 13

Divide each side by '2'.
y2 = 6.5

Simplifying
y2 = 6.5

Take the square root of each side:
y = {-2.549509757, 2.549509757}