5Y-4+y+8=7+5y+13-3y

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Solution for 5Y-4+y+8=7+5y+13-3y equation: 


Simplifying
5Y + -4 + y + 8 = 7 + 5y + 13 + -3y

Reorder the terms:
-4 + 8 + 5Y + y = 7 + 5y + 13 + -3y

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

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

Combine like terms: 7 + 13 = 20
4 + 5Y + y = 20 + 5y + -3y

Combine like terms: 5y + -3y = 2y
4 + 5Y + y = 20 + 2y

Solving
4 + 5Y + y = 20 + 2y

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + 5Y + -4 + y = 20 + -4 + 2y

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

Combine like terms: 4 + -4 = 0
0 + 5Y + y = 20 + -4 + 2y
5Y + y = 20 + -4 + 2y

Combine like terms: 20 + -4 = 16
5Y + y = 16 + 2y

Add '-1y' to each side of the equation.
5Y + y + -1y = 16 + 2y + -1y

Combine like terms: y + -1y = 0
5Y + 0 = 16 + 2y + -1y
5Y = 16 + 2y + -1y

Combine like terms: 2y + -1y = 1y
5Y = 16 + 1y

Divide each side by '5'.
Y = 3.2 + 0.2y

Simplifying
Y = 3.2 + 0.2y

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