5-5y^2=5y^2-5

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

Simplifying
5 + -5y2 = 5y2 + -5

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

Solving
5 + -5y2 = -5 + 5y2

Solving for variable 'y'.

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

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

Combine like terms: -5y2 + -5y2 = -10y2
5 + -10y2 = -5 + 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
5 + -10y2 = -5 + 0
5 + -10y2 = -5

Add '-5' to each side of the equation.
5 + -5 + -10y2 = -5 + -5

Combine like terms: 5 + -5 = 0
0 + -10y2 = -5 + -5
-10y2 = -5 + -5

Combine like terms: -5 + -5 = -10
-10y2 = -10

Divide each side by '-10'.
y2 = 1

Simplifying
y2 = 1

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