(y-8)-(y+5)=9y

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Solution for (y-8)-(y+5)=9y equation:


Simplifying
(y + -8) + -1(y + 5) = 9y

Reorder the terms:
(-8 + y) + -1(y + 5) = 9y

Remove parenthesis around (-8 + y)
-8 + y + -1(y + 5) = 9y

Reorder the terms:
-8 + y + -1(5 + y) = 9y
-8 + y + (5 * -1 + y * -1) = 9y
-8 + y + (-5 + -1y) = 9y

Reorder the terms:
-8 + -5 + y + -1y = 9y

Combine like terms: -8 + -5 = -13
-13 + y + -1y = 9y

Combine like terms: y + -1y = 0
-13 + 0 = 9y
-13 = 9y

Solving
-13 = 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.
-13 + -9y = 9y + -9y

Combine like terms: 9y + -9y = 0
-13 + -9y = 0

Add '13' to each side of the equation.
-13 + 13 + -9y = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -9y = 0 + 13
-9y = 0 + 13

Combine like terms: 0 + 13 = 13
-9y = 13

Divide each side by '-9'.
y = -1.444444444

Simplifying
y = -1.444444444

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