(1-y)(1+y)=

Solution for (1-y)(1+y)= equation:

Simplifying
(1 + -1y)(1 + y) = 0

Multiply (1 + -1y) * (1 + y)
(1(1 + y) + -1y * (1 + y)) = 0
((1 * 1 + y * 1) + -1y * (1 + y)) = 0
((1 + 1y) + -1y * (1 + y)) = 0
(1 + 1y + (1 * -1y + y * -1y)) = 0
(1 + 1y + (-1y + -1y2)) = 0

Combine like terms: 1y + -1y = 0
(1 + 0 + -1y2) = 0
(1 + -1y2) = 0

Solving
1 + -1y2 = 0

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + -1y2 = 0 + -1

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

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

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

Simplifying
y2 = 1

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