(8y-10)(18-1y)=

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Solution for (8y-10)(18-1y)= equation: 


Simplifying
(8y + -10)(18 + -1y) = 0

Reorder the terms:
(-10 + 8y)(18 + -1y) = 0

Multiply (-10 + 8y) * (18 + -1y)
(-10(18 + -1y) + 8y * (18 + -1y)) = 0
((18 * -10 + -1y * -10) + 8y * (18 + -1y)) = 0
((-180 + 10y) + 8y * (18 + -1y)) = 0
(-180 + 10y + (18 * 8y + -1y * 8y)) = 0
(-180 + 10y + (144y + -8y2)) = 0

Combine like terms: 10y + 144y = 154y
(-180 + 154y + -8y2) = 0

Solving
-180 + 154y + -8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-90 + 77y + -4y2) = 0

Factor a trinomial.
2((-18 + y)(5 + -4y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-18 + y)' equal to zero and attempt to solve:

Simplifying
-18 + y = 0

Solving
-18 + y = 0

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

Add '18' to each side of the equation.
-18 + 18 + y = 0 + 18

Combine like terms: -18 + 18 = 0
0 + y = 0 + 18
y = 0 + 18

Combine like terms: 0 + 18 = 18
y = 18

Simplifying
y = 18

Subproblem 2
Set the factor '(5 + -4y)' equal to zero and attempt to solve:

Simplifying
5 + -4y = 0

Solving
5 + -4y = 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 + -4y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4y = 0 + -5
-4y = 0 + -5

Combine like terms: 0 + -5 = -5
-4y = -5

Divide each side by '-4'.
y = 1.25

Simplifying
y = 1.25
Solution
y = {18, 1.25}

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