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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: 3 + 2 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5

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