2=2y^2

Solution for 2=2y^2 equation:

Simplifying
2 = 2y2

Solving
2 = 2y2

Solving for variable 'y'.

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -2y2 = 0 + -2

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

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

Divide each side by '-2'.
y2 = 1

Simplifying
y2 = 1

Take the square root of each side:
y = {-1, 1}