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

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


Simplifying
6m(2m + y) + -2m(3m + -3y) = 0
(2m * 6m + y * 6m) + -2m(3m + -3y) = 0

Reorder the terms:
(6my + 12m2) + -2m(3m + -3y) = 0
(6my + 12m2) + -2m(3m + -3y) = 0
6my + 12m2 + (3m * -2m + -3y * -2m) = 0

Reorder the terms:
6my + 12m2 + (6my + -6m2) = 0
6my + 12m2 + (6my + -6m2) = 0

Reorder the terms:
6my + 6my + 12m2 + -6m2 = 0

Combine like terms: 6my + 6my = 12my
12my + 12m2 + -6m2 = 0

Combine like terms: 12m2 + -6m2 = 6m2
12my + 6m2 = 0

Solving
12my + 6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6m'.
6m(2y + m) = 0

Ignore the factor 6.

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

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

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

Simplifying
2y + m = 0

Reorder the terms:
m + 2y = 0

Solving
m + 2y = 0

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

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

Combine like terms: 2y + -2y = 0
m + 0 = 0 + -2y
m = 0 + -2y
Remove the zero:
m = -2y

Simplifying
m = -2y
Solution
m = {0, -2y}

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