2y^2-1=127

Solution for 2y^2-1=127 equation:

Simplifying
2y2 + -1 = 127

Reorder the terms:
-1 + 2y2 = 127

Solving
-1 + 2y2 = 127

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 2y2 = 127 + 1

Combine like terms: -1 + 1 = 0
0 + 2y2 = 127 + 1
2y2 = 127 + 1

Combine like terms: 127 + 1 = 128
2y2 = 128

Divide each side by '2'.
y2 = 64

Simplifying
y2 = 64

Take the square root of each side:
y = {-8, 8}