5-y^2=y^2-6

Solution for 5-y^2=y^2-6 equation:

Simplifying
5 + -1y2 = y2 + -6

Reorder the terms:
5 + -1y2 = -6 + y2

Solving
5 + -1y2 = -6 + y2

Solving for variable 'y'.

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

Add '-1y2' to each side of the equation.
5 + -1y2 + -1y2 = -6 + y2 + -1y2

Combine like terms: -1y2 + -1y2 = -2y2
5 + -2y2 = -6 + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
5 + -2y2 = -6 + 0
5 + -2y2 = -6

Add '-5' to each side of the equation.
5 + -5 + -2y2 = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -2y2 = -6 + -5
-2y2 = -6 + -5

Combine like terms: -6 + -5 = -11
-2y2 = -11

Divide each side by '-2'.
y2 = 5.5

Simplifying
y2 = 5.5

Take the square root of each side:
y = {-2.34520788, 2.34520788}