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

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


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

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

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

Combine like terms: 3x + -3x = 0
0 + y = -1 + 3x + -3x + 2y
y = -1 + 3x + -3x + 2y

Combine like terms: 3x + -3x = 0
y = -1 + 0 + 2y
y = -1 + 2y

Solving
y = -1 + 2y

Solving for variable 'y'.

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

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

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

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

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

Simplifying
y = 1

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