[1+(2-y)][1-(2-y)]=

Solution for [1+(2-y)][1-(2-y)]= equation:

Simplifying
[1 + (2 + -1y)][1 + -1(2 + -1y)] = 0

Remove parenthesis around (2 + -1y)
[1 + 2 + -1y][1 + -1(2 + -1y)] = 0

Combine like terms: 1 + 2 = 3
[3 + -1y][1 + -1(2 + -1y)] = 0
[3 + -1y][1 + (2 * -1 + -1y * -1)] = 0
[3 + -1y][1 + (-2 + 1y)] = 0

Combine like terms: 1 + -2 = -1
[3 + -1y][-1 + 1y] = 0

Multiply [3 + -1y] * [-1 + 1y]
[3[-1 + 1y] + -1y * [-1 + 1y]] = 0
[[-1 * 3 + 1y * 3] + -1y * [-1 + 1y]] = 0
[[-3 + 3y] + -1y * [-1 + 1y]] = 0
[-3 + 3y + [-1 * -1y + 1y * -1y]] = 0
[-3 + 3y + [1y + -1y2]] = 0

Combine like terms: 3y + 1y = 4y
[-3 + 4y + -1y2] = 0

Solving
-3 + 4y + -1y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-3 + y)' equal to zero and attempt to solve:

Simplifying
-3 + y = 0

Solving
-3 + y = 0

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

Add '3' to each side of the equation.
-3 + 3 + y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + y = 0 + 3
y = 0 + 3

Combine like terms: 0 + 3 = 3
y = 3

Simplifying
y = 3
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

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

Simplifying
y = 1
Solution
y = {3, 1}