2x-y+3Z=12

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Solution for 2x-y+3Z=12 equation: 


Simplifying
2x + -1y + 3Z = 12

Reorder the terms:
3Z + 2x + -1y = 12

Solving
3Z + 2x + -1y = 12

Solving for variable 'Z'.

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

Add '-2x' to each side of the equation.
3Z + 2x + -2x + -1y = 12 + -2x

Combine like terms: 2x + -2x = 0
3Z + 0 + -1y = 12 + -2x
3Z + -1y = 12 + -2x

Add 'y' to each side of the equation.
3Z + -1y + y = 12 + -2x + y

Combine like terms: -1y + y = 0
3Z + 0 = 12 + -2x + y
3Z = 12 + -2x + y

Divide each side by '3'.
Z = 4 + -0.6666666667x + 0.3333333333y

Simplifying
Z = 4 + -0.6666666667x + 0.3333333333y

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