-2y(18-3y)=7y+2y

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Solution for -2y(18-3y)=7y+2y equation: 


Simplifying
-2y(18 + -3y) = 7y + 2y
(18 * -2y + -3y * -2y) = 7y + 2y
(-36y + 6y2) = 7y + 2y

Combine like terms: 7y + 2y = 9y
-36y + 6y2 = 9y

Solving
-36y + 6y2 = 9y

Solving for variable 'y'.

Reorder the terms:
-36y + -9y + 6y2 = 9y + -9y

Combine like terms: -36y + -9y = -45y
-45y + 6y2 = 9y + -9y

Combine like terms: 9y + -9y = 0
-45y + 6y2 = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-15 + 2y) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-15 + 2y)' equal to zero and attempt to solve:

Simplifying
-15 + 2y = 0

Solving
-15 + 2y = 0

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

Add '15' to each side of the equation.
-15 + 15 + 2y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2y = 0 + 15
2y = 0 + 15

Combine like terms: 0 + 15 = 15
2y = 15

Divide each side by '2'.
y = 7.5

Simplifying
y = 7.5
Solution
y = {0, 7.5}

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