(Y-9)-(y+4)=5y

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Solution for (Y-9)-(y+4)=5y equation: 


Simplifying
(Y + -9) + -1(y + 4) = 5y

Reorder the terms:
(-9 + Y) + -1(y + 4) = 5y

Remove parenthesis around (-9 + Y)
-9 + Y + -1(y + 4) = 5y

Reorder the terms:
-9 + Y + -1(4 + y) = 5y
-9 + Y + (4 * -1 + y * -1) = 5y
-9 + Y + (-4 + -1y) = 5y

Reorder the terms:
-9 + -4 + Y + -1y = 5y

Combine like terms: -9 + -4 = -13
-13 + Y + -1y = 5y

Solving
-13 + Y + -1y = 5y

Solving for variable 'Y'.

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

Add '13' to each side of the equation.
-13 + Y + 13 + -1y = 13 + 5y

Reorder the terms:
-13 + 13 + Y + -1y = 13 + 5y

Combine like terms: -13 + 13 = 0
0 + Y + -1y = 13 + 5y
Y + -1y = 13 + 5y

Add 'y' to each side of the equation.
Y + -1y + y = 13 + 5y + y

Combine like terms: -1y + y = 0
Y + 0 = 13 + 5y + y
Y = 13 + 5y + y

Combine like terms: 5y + y = 6y
Y = 13 + 6y

Simplifying
Y = 13 + 6y

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