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

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


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

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

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

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

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

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

Solving
-9 + Y + -1y = 9y

Solving for variable 'Y'.

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

Add '9' to each side of the equation.
-9 + Y + 9 + -1y = 9 + 9y

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

Combine like terms: -9 + 9 = 0
0 + Y + -1y = 9 + 9y
Y + -1y = 9 + 9y

Add 'y' to each side of the equation.
Y + -1y + y = 9 + 9y + y

Combine like terms: -1y + y = 0
Y + 0 = 9 + 9y + y
Y = 9 + 9y + y

Combine like terms: 9y + y = 10y
Y = 9 + 10y

Simplifying
Y = 9 + 10y

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