6(3y-7)y=

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Solution for 6(3y-7)y= equation: 


Simplifying
6(3y + -7) * y = 0

Reorder the terms:
6(-7 + 3y) * y = 0

Reorder the terms for easier multiplication:
6y(-7 + 3y) = 0
(-7 * 6y + 3y * 6y) = 0
(-42y + 18y2) = 0

Solving
-42y + 18y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y'.
6y(-7 + 3y) = 0

Ignore the factor 6.

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 '(-7 + 3y)' equal to zero and attempt to solve:

Simplifying
-7 + 3y = 0

Solving
-7 + 3y = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3y = 0 + 7
3y = 0 + 7

Combine like terms: 0 + 7 = 7
3y = 7

Divide each side by '3'.
y = 2.333333333

Simplifying
y = 2.333333333
Solution
y = {0, 2.333333333}

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