10y-2-4m+m=42-8

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Solution for 10y-2-4m+m=42-8 equation: 


Simplifying
10y + -2 + -4m + m = 42 + -8

Reorder the terms:
-2 + -4m + m + 10y = 42 + -8

Combine like terms: -4m + m = -3m
-2 + -3m + 10y = 42 + -8

Combine like terms: 42 + -8 = 34
-2 + -3m + 10y = 34

Solving
-2 + -3m + 10y = 34

Solving for variable 'm'.

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

Add '2' to each side of the equation.
-2 + -3m + 2 + 10y = 34 + 2

Reorder the terms:
-2 + 2 + -3m + 10y = 34 + 2

Combine like terms: -2 + 2 = 0
0 + -3m + 10y = 34 + 2
-3m + 10y = 34 + 2

Combine like terms: 34 + 2 = 36
-3m + 10y = 36

Add '-10y' to each side of the equation.
-3m + 10y + -10y = 36 + -10y

Combine like terms: 10y + -10y = 0
-3m + 0 = 36 + -10y
-3m = 36 + -10y

Divide each side by '-3'.
m = -12 + 3.333333333y

Simplifying
m = -12 + 3.333333333y

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