5y-5+y+9=7+8y+13-6y

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Solution for 5y-5+y+9=7+8y+13-6y equation: 


Simplifying
5y + -5 + y + 9 = 7 + 8y + 13 + -6y

Reorder the terms:
-5 + 9 + 5y + y = 7 + 8y + 13 + -6y

Combine like terms: -5 + 9 = 4
4 + 5y + y = 7 + 8y + 13 + -6y

Combine like terms: 5y + y = 6y
4 + 6y = 7 + 8y + 13 + -6y

Reorder the terms:
4 + 6y = 7 + 13 + 8y + -6y

Combine like terms: 7 + 13 = 20
4 + 6y = 20 + 8y + -6y

Combine like terms: 8y + -6y = 2y
4 + 6y = 20 + 2y

Solving
4 + 6y = 20 + 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.
4 + 6y + -2y = 20 + 2y + -2y

Combine like terms: 6y + -2y = 4y
4 + 4y = 20 + 2y + -2y

Combine like terms: 2y + -2y = 0
4 + 4y = 20 + 0
4 + 4y = 20

Add '-4' to each side of the equation.
4 + -4 + 4y = 20 + -4

Combine like terms: 4 + -4 = 0
0 + 4y = 20 + -4
4y = 20 + -4

Combine like terms: 20 + -4 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4

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