(2y+2)=(3y-13)

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Solution for (2y+2)=(3y-13) equation:


Simplifying
(2y + 2) = (3y + -13)

Reorder the terms:
(2 + 2y) = (3y + -13)

Remove parenthesis around (2 + 2y)
2 + 2y = (3y + -13)

Reorder the terms:
2 + 2y = (-13 + 3y)

Remove parenthesis around (-13 + 3y)
2 + 2y = -13 + 3y

Solving
2 + 2y = -13 + 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.
2 + 2y + -3y = -13 + 3y + -3y

Combine like terms: 2y + -3y = -1y
2 + -1y = -13 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + -1y = -13 + 0
2 + -1y = -13

Add '-2' to each side of the equation.
2 + -2 + -1y = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = -13 + -2
-1y = -13 + -2

Combine like terms: -13 + -2 = -15
-1y = -15

Divide each side by '-1'.
y = 15

Simplifying
y = 15

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