4y-8+y+22=7y+20-4y

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Solution for 4y-8+y+22=7y+20-4y equation:


Simplifying
4y + -8 + y + 22 = 7y + 20 + -4y

Reorder the terms:
-8 + 22 + 4y + y = 7y + 20 + -4y

Combine like terms: -8 + 22 = 14
14 + 4y + y = 7y + 20 + -4y

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

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

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

Solving
14 + 5y = 20 + 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.
14 + 5y + -3y = 20 + 3y + -3y

Combine like terms: 5y + -3y = 2y
14 + 2y = 20 + 3y + -3y

Combine like terms: 3y + -3y = 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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