3x+4y=6-y

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Solution for 3x+4y=6-y equation: 


Simplifying
3x + 4y = 6 + -1y

Solving
3x + 4y = 6 + -1y

Solving for variable 'x'.

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

Add '-4y' to each side of the equation.
3x + 4y + -4y = 6 + -1y + -4y

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

Combine like terms: -1y + -4y = -5y
3x = 6 + -5y

Divide each side by '3'.
x = 2 + -1.666666667y

Simplifying
x = 2 + -1.666666667y

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