4(x+y)-x+y=-6

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Solution for 4(x+y)-x+y=-6 equation:


Simplifying
4(x + y) + -1x + y = -6
(x * 4 + y * 4) + -1x + y = -6
(4x + 4y) + -1x + y = -6

Reorder the terms:
4x + -1x + 4y + y = -6

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

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

Solving
3x + 5y = -6

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
3x + 5y + -5y = -6 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = -6 + -5y
3x = -6 + -5y

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

Simplifying
x = -2 + -1.666666667y

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