3m+2(xy-y)+4xy-x(3+y)=

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Solution for 3m+2(xy-y)+4xy-x(3+y)= equation:


Simplifying
3m + 2(xy + -1y) + 4xy + -1x(3 + y) = 0
3m + (xy * 2 + -1y * 2) + 4xy + -1x(3 + y) = 0
3m + (2xy + -2y) + 4xy + -1x(3 + y) = 0
3m + 2xy + -2y + 4xy + (3 * -1x + y * -1x) = 0
3m + 2xy + -2y + 4xy + (-3x + -1xy) = 0

Reorder the terms:
3m + -3x + 2xy + 4xy + -1xy + -2y = 0

Combine like terms: 2xy + 4xy = 6xy
3m + -3x + 6xy + -1xy + -2y = 0

Combine like terms: 6xy + -1xy = 5xy
3m + -3x + 5xy + -2y = 0

Solving
3m + -3x + 5xy + -2y = 0

Solving for variable 'm'.

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

Add '3x' to each side of the equation.
3m + -3x + 5xy + 3x + -2y = 0 + 3x

Reorder the terms:
3m + -3x + 3x + 5xy + -2y = 0 + 3x

Combine like terms: -3x + 3x = 0
3m + 0 + 5xy + -2y = 0 + 3x
3m + 5xy + -2y = 0 + 3x
Remove the zero:
3m + 5xy + -2y = 3x

Add '-5xy' to each side of the equation.
3m + 5xy + -5xy + -2y = 3x + -5xy

Combine like terms: 5xy + -5xy = 0
3m + 0 + -2y = 3x + -5xy
3m + -2y = 3x + -5xy

Add '2y' to each side of the equation.
3m + -2y + 2y = 3x + -5xy + 2y

Combine like terms: -2y + 2y = 0
3m + 0 = 3x + -5xy + 2y
3m = 3x + -5xy + 2y

Divide each side by '3'.
m = x + -1.666666667xy + 0.6666666667y

Simplifying
m = x + -1.666666667xy + 0.6666666667y

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