5y-1+y+22=8y+30-5y

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Solution for 5y-1+y+22=8y+30-5y equation:


Simplifying
5y + -1 + y + 22 = 8y + 30 + -5y

Reorder the terms:
-1 + 22 + 5y + y = 8y + 30 + -5y

Combine like terms: -1 + 22 = 21
21 + 5y + y = 8y + 30 + -5y

Combine like terms: 5y + y = 6y
21 + 6y = 8y + 30 + -5y

Reorder the terms:
21 + 6y = 30 + 8y + -5y

Combine like terms: 8y + -5y = 3y
21 + 6y = 30 + 3y

Solving
21 + 6y = 30 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
21 + 6y + -3y = 30 + 3y + -3y

Combine like terms: 6y + -3y = 3y
21 + 3y = 30 + 3y + -3y

Combine like terms: 3y + -3y = 0
21 + 3y = 30 + 0
21 + 3y = 30

Add '-21' to each side of the equation.
21 + -21 + 3y = 30 + -21

Combine like terms: 21 + -21 = 0
0 + 3y = 30 + -21
3y = 30 + -21

Combine like terms: 30 + -21 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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