9y-(y-9)=1(y-5)

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Solution for 9y-(y-9)=1(y-5) equation:


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

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

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

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

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

Solving
9 + 8y = -5 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
9 + 8y + -1y = -5 + 1y + -1y

Combine like terms: 8y + -1y = 7y
9 + 7y = -5 + 1y + -1y

Combine like terms: 1y + -1y = 0
9 + 7y = -5 + 0
9 + 7y = -5

Add '-9' to each side of the equation.
9 + -9 + 7y = -5 + -9

Combine like terms: 9 + -9 = 0
0 + 7y = -5 + -9
7y = -5 + -9

Combine like terms: -5 + -9 = -14
7y = -14

Divide each side by '7'.
y = -2

Simplifying
y = -2

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