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

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


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

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

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

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

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

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

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

Solving
-9 = 9y

Solving for variable 'y'.

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

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

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

Add '9' to each side of the equation.
-9 + 9 + -9y = 0 + 9

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

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

Divide each side by '-9'.
y = -1

Simplifying
y = -1

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