(3y-2)=(y+x)

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Solution for (3y-2)=(y+x) equation:


Simplifying
(3y + -2) = (y + x)

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

Remove parenthesis around (-2 + 3y)
-2 + 3y = (y + x)

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

Remove parenthesis around (x + y)
-2 + 3y = x + y

Solving
-2 + 3y = x + y

Solving for variable 'y'.

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

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

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

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

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

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

Divide each side by '2'.
y = 1 + 0.5x

Simplifying
y = 1 + 0.5x

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