x+y=2x-y-1

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Solution for x+y=2x-y-1 equation:


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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-1'.
x = 1 + 2y

Simplifying
x = 1 + 2y

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