2x+3y=y-x+8

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Solution for 2x+3y=y-x+8 equation:


Simplifying
2x + 3y = y + -1x + 8

Reorder the terms:
2x + 3y = 8 + -1x + y

Solving
2x + 3y = 8 + -1x + y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2x + x + 3y = 8 + -1x + x + y

Combine like terms: 2x + x = 3x
3x + 3y = 8 + -1x + x + y

Combine like terms: -1x + x = 0
3x + 3y = 8 + 0 + y
3x + 3y = 8 + y

Add '-3y' to each side of the equation.
3x + 3y + -3y = 8 + y + -3y

Combine like terms: 3y + -3y = 0
3x + 0 = 8 + y + -3y
3x = 8 + y + -3y

Combine like terms: y + -3y = -2y
3x = 8 + -2y

Divide each side by '3'.
x = 2.666666667 + -0.6666666667y

Simplifying
x = 2.666666667 + -0.6666666667y

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