5y-8+y+38=7y+30-5y

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Solution for 5y-8+y+38=7y+30-5y equation: 


Simplifying
5y + -8 + y + 38 = 7y + 30 + -5y

Reorder the terms:
-8 + 38 + 5y + y = 7y + 30 + -5y

Combine like terms: -8 + 38 = 30
30 + 5y + y = 7y + 30 + -5y

Combine like terms: 5y + y = 6y
30 + 6y = 7y + 30 + -5y

Reorder the terms:
30 + 6y = 30 + 7y + -5y

Combine like terms: 7y + -5y = 2y
30 + 6y = 30 + 2y

Add '-30' to each side of the equation.
30 + -30 + 6y = 30 + -30 + 2y

Combine like terms: 30 + -30 = 0
0 + 6y = 30 + -30 + 2y
6y = 30 + -30 + 2y

Combine like terms: 30 + -30 = 0
6y = 0 + 2y
6y = 2y

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

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

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

Divide each side by '4'.
y = 0

Simplifying
y = 0

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