6y-2y(y-8)=0

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Solution for 6y-2y(y-8)=0 equation: 


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

Reorder the terms:
6y + -2y(-8 + y) = 0
6y + (-8 * -2y + y * -2y) = 0
6y + (16y + -2y2) = 0

Combine like terms: 6y + 16y = 22y
22y + -2y2 = 0

Solving
22y + -2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(11 + -1y) = 0

Ignore the factor 2.

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 '(11 + -1y)' equal to zero and attempt to solve:

Simplifying
11 + -1y = 0

Solving
11 + -1y = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1y = 0 + -11
-1y = 0 + -11

Combine like terms: 0 + -11 = -11
-1y = -11

Divide each side by '-1'.
y = 11

Simplifying
y = 11
Solution
y = {0, 11}

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