(3-2y)+(3-2y)y=2

Solution for (3-2y)+(3-2y)y=2 equation:

Simplifying
(3 + -2y) + (3 + -2y) * y = 2

Remove parenthesis around (3 + -2y)
3 + -2y + (3 + -2y) * y = 2

Reorder the terms for easier multiplication:
3 + -2y + y(3 + -2y) = 2
3 + -2y + (3 * y + -2y * y) = 2
3 + -2y + (3y + -2y2) = 2

Combine like terms: -2y + 3y = 1y
3 + 1y + -2y2 = 2

Solving
3 + 1y + -2y2 = 2

Solving for variable 'y'.

Reorder the terms:
3 + -2 + 1y + -2y2 = 2 + -2

Combine like terms: 3 + -2 = 1
1 + 1y + -2y2 = 2 + -2

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

Factor a trinomial.
(1 + -1y)(1 + 2y) = 0

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

Simplifying
1 + 2y = 0

Solving
1 + 2y = 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 + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 0 + -1
2y = 0 + -1

Combine like terms: 0 + -1 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5
Solution
y = {1, -0.5}