3y-8+y+22=7y+20-5y

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Solution for 3y-8+y+22=7y+20-5y equation: 


Simplifying
3y + -8 + y + 22 = 7y + 20 + -5y

Reorder the terms:
-8 + 22 + 3y + y = 7y + 20 + -5y

Combine like terms: -8 + 22 = 14
14 + 3y + y = 7y + 20 + -5y

Combine like terms: 3y + y = 4y
14 + 4y = 7y + 20 + -5y

Reorder the terms:
14 + 4y = 20 + 7y + -5y

Combine like terms: 7y + -5y = 2y
14 + 4y = 20 + 2y

Solving
14 + 4y = 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.
14 + 4y + -2y = 20 + 2y + -2y

Combine like terms: 4y + -2y = 2y
14 + 2y = 20 + 2y + -2y

Combine like terms: 2y + -2y = 0
14 + 2y = 20 + 0
14 + 2y = 20

Add '-14' to each side of the equation.
14 + -14 + 2y = 20 + -14

Combine like terms: 14 + -14 = 0
0 + 2y = 20 + -14
2y = 20 + -14

Combine like terms: 20 + -14 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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