(2y-1)(3-y)=

Solution for (2y-1)(3-y)= equation:

Simplifying
(2y + -1)(3 + -1y) = 0

Reorder the terms:
(-1 + 2y)(3 + -1y) = 0

Multiply (-1 + 2y) * (3 + -1y)
(-1(3 + -1y) + 2y * (3 + -1y)) = 0
((3 * -1 + -1y * -1) + 2y * (3 + -1y)) = 0
((-3 + 1y) + 2y * (3 + -1y)) = 0
(-3 + 1y + (3 * 2y + -1y * 2y)) = 0
(-3 + 1y + (6y + -2y2)) = 0

Combine like terms: 1y + 6y = 7y
(-3 + 7y + -2y2) = 0

Solving
-3 + 7y + -2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + y)(1 + -2y) = 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 + -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 = {3, 0.5}