(2-y)*(4-y)=3

Solution for (2-y)*(4-y)=3 equation:

Simplifying
(2 + -1y)(4 + -1y) = 3

Multiply (2 + -1y) * (4 + -1y)
(2(4 + -1y) + -1y * (4 + -1y)) = 3
((4 * 2 + -1y * 2) + -1y * (4 + -1y)) = 3
((8 + -2y) + -1y * (4 + -1y)) = 3
(8 + -2y + (4 * -1y + -1y * -1y)) = 3
(8 + -2y + (-4y + 1y2)) = 3

Combine like terms: -2y + -4y = -6y
(8 + -6y + 1y2) = 3

Solving
8 + -6y + 1y2 = 3

Solving for variable 'y'.

Reorder the terms:
8 + -3 + -6y + 1y2 = 3 + -3

Combine like terms: 8 + -3 = 5
5 + -6y + 1y2 = 3 + -3

Combine like terms: 3 + -3 = 0
5 + -6y + 1y2 = 0

Factor a trinomial.
(1 + -1y)(5 + -1y) = 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 '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {1, 5}