2y^2-48+46=0

Solution for 2y^2-48+46=0 equation:

Simplifying
2y2 + -48 + 46 = 0

Reorder the terms:
-48 + 46 + 2y2 = 0

Combine like terms: -48 + 46 = -2
-2 + 2y2 = 0

Solving
-2 + 2y2 = 0

Solving for variable 'y'.

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

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}