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

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


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

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

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

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

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

Combine like terms: -5 + 8 = 3
3 + y + -1y = 9y

Combine like terms: y + -1y = 0
3 + 0 = 9y
3 = 9y

Solving
3 = 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.
3 + -9y = 9y + -9y

Combine like terms: 9y + -9y = 0
3 + -9y = 0

Add '-3' to each side of the equation.
3 + -3 + -9y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -9y = 0 + -3
-9y = 0 + -3

Combine like terms: 0 + -3 = -3
-9y = -3

Divide each side by '-9'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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