(1-y)(3y-5)=0

Solution for (1-y)(3y-5)=0 equation:

Simplifying
(1 + -1y)(3y + -5) = 0

Reorder the terms:
(1 + -1y)(-5 + 3y) = 0

Multiply (1 + -1y) * (-5 + 3y)
(1(-5 + 3y) + -1y * (-5 + 3y)) = 0
((-5 * 1 + 3y * 1) + -1y * (-5 + 3y)) = 0
((-5 + 3y) + -1y * (-5 + 3y)) = 0
(-5 + 3y + (-5 * -1y + 3y * -1y)) = 0
(-5 + 3y + (5y + -3y2)) = 0

Combine like terms: 3y + 5y = 8y
(-5 + 8y + -3y2) = 0

Solving
-5 + 8y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + 3y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-5 + 3y)' equal to zero and attempt to solve:

Simplifying
-5 + 3y = 0

Solving
-5 + 3y = 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 + 3y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3y = 0 + 5
3y = 0 + 5

Combine like terms: 0 + 5 = 5
3y = 5

Divide each side by '3'.
y = 1.666666667

Simplifying
y = 1.666666667
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 = {1.666666667, 1}