(y-3)-(y-5)=9y

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Solution for (y-3)-(y-5)=9y equation:


Simplifying
(y + -3) + -1(y + -5) = 9y

Reorder the terms:
(-3 + y) + -1(y + -5) = 9y

Remove parenthesis around (-3 + y)
-3 + y + -1(y + -5) = 9y

Reorder the terms:
-3 + y + -1(-5 + y) = 9y
-3 + y + (-5 * -1 + y * -1) = 9y
-3 + y + (5 + -1y) = 9y

Reorder the terms:
-3 + 5 + y + -1y = 9y

Combine like terms: -3 + 5 = 2
2 + y + -1y = 9y

Combine like terms: y + -1y = 0
2 + 0 = 9y
2 = 9y

Solving
2 = 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.
2 + -9y = 9y + -9y

Combine like terms: 9y + -9y = 0
2 + -9y = 0

Add '-2' to each side of the equation.
2 + -2 + -9y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9y = 0 + -2
-9y = 0 + -2

Combine like terms: 0 + -2 = -2
-9y = -2

Divide each side by '-9'.
y = 0.2222222222

Simplifying
y = 0.2222222222

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