6-y^2-y^2+2=0

Solution for 6-y^2-y^2+2=0 equation:

Simplifying
6 + -1y2 + -1y2 + 2 = 0

Reorder the terms:
6 + 2 + -1y2 + -1y2 = 0

Combine like terms: 6 + 2 = 8
8 + -1y2 + -1y2 = 0

Combine like terms: -1y2 + -1y2 = -2y2
8 + -2y2 = 0

Solving
8 + -2y2 = 0

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + -2y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2y2 = 0 + -8
-2y2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2y2 = -8

Divide each side by '-2'.
y2 = 4

Simplifying
y2 = 4

Take the square root of each side:
y = {-2, 2}