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

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


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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

Combine like terms: 3 + 2 = 5
2x + 3y = 5 + y

Add '-3y' to each side of the equation.
2x + 3y + -3y = 5 + y + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 5 + y + -3y
2x = 5 + y + -3y

Combine like terms: y + -3y = -2y
2x = 5 + -2y

Divide each side by '2'.
x = 2.5 + -1y

Simplifying
x = 2.5 + -1y

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