(Y-9)-(y+8)=4y

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Solution for (Y-9)-(y+8)=4y equation: 


Simplifying
(Y + -9) + -1(y + 8) = 4y

Reorder the terms:
(-9 + Y) + -1(y + 8) = 4y

Remove parenthesis around (-9 + Y)
-9 + Y + -1(y + 8) = 4y

Reorder the terms:
-9 + Y + -1(8 + y) = 4y
-9 + Y + (8 * -1 + y * -1) = 4y
-9 + Y + (-8 + -1y) = 4y

Reorder the terms:
-9 + -8 + Y + -1y = 4y

Combine like terms: -9 + -8 = -17
-17 + Y + -1y = 4y

Solving
-17 + Y + -1y = 4y

Solving for variable 'Y'.

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

Add '17' to each side of the equation.
-17 + Y + 17 + -1y = 17 + 4y

Reorder the terms:
-17 + 17 + Y + -1y = 17 + 4y

Combine like terms: -17 + 17 = 0
0 + Y + -1y = 17 + 4y
Y + -1y = 17 + 4y

Add 'y' to each side of the equation.
Y + -1y + y = 17 + 4y + y

Combine like terms: -1y + y = 0
Y + 0 = 17 + 4y + y
Y = 17 + 4y + y

Combine like terms: 4y + y = 5y
Y = 17 + 5y

Simplifying
Y = 17 + 5y

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