7y-2y(3y-4)=

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Solution for 7y-2y(3y-4)= equation: 


Simplifying
7y + -2y(3y + -4) = 0

Reorder the terms:
7y + -2y(-4 + 3y) = 0
7y + (-4 * -2y + 3y * -2y) = 0
7y + (8y + -6y2) = 0

Combine like terms: 7y + 8y = 15y
15y + -6y2 = 0

Solving
15y + -6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(5 + -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 '(5 + -2y)' equal to zero and attempt to solve:

Simplifying
5 + -2y = 0

Solving
5 + -2y = 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 + -2y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2y = 0 + -5
-2y = 0 + -5

Combine like terms: 0 + -5 = -5
-2y = -5

Divide each side by '-2'.
y = 2.5

Simplifying
y = 2.5
Solution
y = {0, 2.5}

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