(1-y)(3y-8)=0

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Solution for (1-y)(3y-8)=0 equation: 


Simplifying
(1 + -1y)(3y + -8) = 0

Reorder the terms:
(1 + -1y)(-8 + 3y) = 0

Multiply (1 + -1y) * (-8 + 3y)
(1(-8 + 3y) + -1y * (-8 + 3y)) = 0
((-8 * 1 + 3y * 1) + -1y * (-8 + 3y)) = 0
((-8 + 3y) + -1y * (-8 + 3y)) = 0
(-8 + 3y + (-8 * -1y + 3y * -1y)) = 0
(-8 + 3y + (8y + -3y2)) = 0

Combine like terms: 3y + 8y = 11y
(-8 + 11y + -3y2) = 0

Solving
-8 + 11y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + 3y)(1 + -1y) = 0


Subproblem 1
Set the factor '(-8 + 3y)' equal to zero and attempt to solve:

Simplifying
-8 + 3y = 0

Solving
-8 + 3y = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3y = 0 + 8
3y = 0 + 8

Combine like terms: 0 + 8 = 8
3y = 8

Divide each side by '3'.
y = 2.666666667

Simplifying
y = 2.666666667

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 = {2.666666667, 1}

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