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

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Solution for 3y+13+5y-5=2y+2 equation: 


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

Reorder the terms:
13 + -5 + 3y + 5y = 2y + 2

Combine like terms: 13 + -5 = 8
8 + 3y + 5y = 2y + 2

Combine like terms: 3y + 5y = 8y
8 + 8y = 2y + 2

Reorder the terms:
8 + 8y = 2 + 2y

Solving
8 + 8y = 2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
8 + 8y + -2y = 2 + 2y + -2y

Combine like terms: 8y + -2y = 6y
8 + 6y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 6y = 2 + 0
8 + 6y = 2

Add '-8' to each side of the equation.
8 + -8 + 6y = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 6y = 2 + -8
6y = 2 + -8

Combine like terms: 2 + -8 = -6
6y = -6

Divide each side by '6'.
y = -1

Simplifying
y = -1

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