4y-1+y+9=7+5y+13-3y

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Solution for 4y-1+y+9=7+5y+13-3y equation: 


Simplifying
4y + -1 + y + 9 = 7 + 5y + 13 + -3y

Reorder the terms:
-1 + 9 + 4y + y = 7 + 5y + 13 + -3y

Combine like terms: -1 + 9 = 8
8 + 4y + y = 7 + 5y + 13 + -3y

Combine like terms: 4y + y = 5y
8 + 5y = 7 + 5y + 13 + -3y

Reorder the terms:
8 + 5y = 7 + 13 + 5y + -3y

Combine like terms: 7 + 13 = 20
8 + 5y = 20 + 5y + -3y

Combine like terms: 5y + -3y = 2y
8 + 5y = 20 + 2y

Solving
8 + 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.
8 + 5y + -2y = 20 + 2y + -2y

Combine like terms: 5y + -2y = 3y
8 + 3y = 20 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 3y = 20 + 0
8 + 3y = 20

Add '-8' to each side of the equation.
8 + -8 + 3y = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 3y = 20 + -8
3y = 20 + -8

Combine like terms: 20 + -8 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4

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