2y+13+y-9=5y+2

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Solution for 2y+13+y-9=5y+2 equation: 


Simplifying
2y + 13 + y + -9 = 5y + 2

Reorder the terms:
13 + -9 + 2y + y = 5y + 2

Combine like terms: 13 + -9 = 4
4 + 2y + y = 5y + 2

Combine like terms: 2y + y = 3y
4 + 3y = 5y + 2

Reorder the terms:
4 + 3y = 2 + 5y

Solving
4 + 3y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
4 + 3y + -5y = 2 + 5y + -5y

Combine like terms: 3y + -5y = -2y
4 + -2y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
4 + -2y = 2 + 0
4 + -2y = 2

Add '-4' to each side of the equation.
4 + -4 + -2y = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -2y = 2 + -4
-2y = 2 + -4

Combine like terms: 2 + -4 = -2
-2y = -2

Divide each side by '-2'.
y = 1

Simplifying
y = 1

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