2y^2-6=75

Solution for 2y^2-6=75 equation:

Simplifying
2y2 + -6 = 75

Reorder the terms:
-6 + 2y2 = 75

Solving
-6 + 2y2 = 75

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 = 75 + 6

Combine like terms: -6 + 6 = 0
0 + 2y2 = 75 + 6
2y2 = 75 + 6

Combine like terms: 75 + 6 = 81
2y2 = 81

Divide each side by '2'.
y2 = 40.5

Simplifying
y2 = 40.5

Take the square root of each side:
y = {-6.363961031, 6.363961031}