5y-2+y+22=7y+20-5y

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Solution for 5y-2+y+22=7y+20-5y equation:


Simplifying
5y + -2 + y + 22 = 7y + 20 + -5y

Reorder the terms:
-2 + 22 + 5y + y = 7y + 20 + -5y

Combine like terms: -2 + 22 = 20
20 + 5y + y = 7y + 20 + -5y

Combine like terms: 5y + y = 6y
20 + 6y = 7y + 20 + -5y

Reorder the terms:
20 + 6y = 20 + 7y + -5y

Combine like terms: 7y + -5y = 2y
20 + 6y = 20 + 2y

Add '-20' to each side of the equation.
20 + -20 + 6y = 20 + -20 + 2y

Combine like terms: 20 + -20 = 0
0 + 6y = 20 + -20 + 2y
6y = 20 + -20 + 2y

Combine like terms: 20 + -20 = 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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