-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)

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 = -5y
2 + -5y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + -5y = 13 + 0
2 + -5y = 13

Add '-2' to each side of the equation.
2 + -2 + -5y = 13 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = 13 + -2
-5y = 13 + -2

Combine like terms: 13 + -2 = 11
-5y = 11

Divide each side by '-5'.
y = -2.2

Simplifying
y = -2.2

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