5-y^2+1=2

Solution for 5-y^2+1=2 equation:

Simplifying
5 + -1y2 + 1 = 2

Reorder the terms:
5 + 1 + -1y2 = 2

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

Solving
6 + -1y2 = 2

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + -1y2 = 2 + -6

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

Combine like terms: 2 + -6 = -4
-1y2 = -4

Divide each side by '-1'.
y2 = 4

Simplifying
y2 = 4

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