4y-2+y+13=7y+20-5y

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Solution for 4y-2+y+13=7y+20-5y equation: 


Simplifying
4y + -2 + y + 13 = 7y + 20 + -5y

Reorder the terms:
-2 + 13 + 4y + y = 7y + 20 + -5y

Combine like terms: -2 + 13 = 11
11 + 4y + y = 7y + 20 + -5y

Combine like terms: 4y + y = 5y
11 + 5y = 7y + 20 + -5y

Reorder the terms:
11 + 5y = 20 + 7y + -5y

Combine like terms: 7y + -5y = 2y
11 + 5y = 20 + 2y

Solving
11 + 5y = 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.
11 + 5y + -2y = 20 + 2y + -2y

Combine like terms: 5y + -2y = 3y
11 + 3y = 20 + 2y + -2y

Combine like terms: 2y + -2y = 0
11 + 3y = 20 + 0
11 + 3y = 20

Add '-11' to each side of the equation.
11 + -11 + 3y = 20 + -11

Combine like terms: 11 + -11 = 0
0 + 3y = 20 + -11
3y = 20 + -11

Combine like terms: 20 + -11 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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