2y-1=3y-x

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


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

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

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

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

Solving for variable 'y'.

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

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

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

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

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

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

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

Simplifying
y = -1 + x

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