2y-3x=y+x+1

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Solution for 2y-3x=y+x+1 equation:


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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -3x + -1x = -4x
-4x + 2y = 1 + x + -1x + y

Combine like terms: x + -1x = 0
-4x + 2y = 1 + 0 + y
-4x + 2y = 1 + y

Add '-2y' to each side of the equation.
-4x + 2y + -2y = 1 + y + -2y

Combine like terms: 2y + -2y = 0
-4x + 0 = 1 + y + -2y
-4x = 1 + y + -2y

Combine like terms: y + -2y = -1y
-4x = 1 + -1y

Divide each side by '-4'.
x = -0.25 + 0.25y

Simplifying
x = -0.25 + 0.25y

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