5y-7+y+31=8y+30-4y

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Solution for 5y-7+y+31=8y+30-4y equation:


Simplifying
5y + -7 + y + 31 = 8y + 30 + -4y

Reorder the terms:
-7 + 31 + 5y + y = 8y + 30 + -4y

Combine like terms: -7 + 31 = 24
24 + 5y + y = 8y + 30 + -4y

Combine like terms: 5y + y = 6y
24 + 6y = 8y + 30 + -4y

Reorder the terms:
24 + 6y = 30 + 8y + -4y

Combine like terms: 8y + -4y = 4y
24 + 6y = 30 + 4y

Solving
24 + 6y = 30 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
24 + 6y + -4y = 30 + 4y + -4y

Combine like terms: 6y + -4y = 2y
24 + 2y = 30 + 4y + -4y

Combine like terms: 4y + -4y = 0
24 + 2y = 30 + 0
24 + 2y = 30

Add '-24' to each side of the equation.
24 + -24 + 2y = 30 + -24

Combine like terms: 24 + -24 = 0
0 + 2y = 30 + -24
2y = 30 + -24

Combine like terms: 30 + -24 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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