6y-y(3y-8)+2y=

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Solution for 6y-y(3y-8)+2y= equation: 


Simplifying
6y + -1y(3y + -8) + 2y = 0

Reorder the terms:
6y + -1y(-8 + 3y) + 2y = 0
6y + (-8 * -1y + 3y * -1y) + 2y = 0
6y + (8y + -3y2) + 2y = 0

Reorder the terms:
6y + 8y + 2y + -3y2 = 0

Combine like terms: 6y + 8y = 14y
14y + 2y + -3y2 = 0

Combine like terms: 14y + 2y = 16y
16y + -3y2 = 0

Solving
16y + -3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(16 + -3y) = 0


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 '(16 + -3y)' equal to zero and attempt to solve:

Simplifying
16 + -3y = 0

Solving
16 + -3y = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3y = 0 + -16
-3y = 0 + -16

Combine like terms: 0 + -16 = -16
-3y = -16

Divide each side by '-3'.
y = 5.333333333

Simplifying
y = 5.333333333
Solution
y = {0, 5.333333333}

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