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Simplify:   (-2y + 6)/(-8y)  

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kristenmarieb... | Student, Grade 10 | Valedictorian

Posted March 26, 2013 at 5:34 PM via web

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Simplify:

 

(-2y + 6)/(-8y)

 

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted March 26, 2013 at 6:31 PM (Answer #1)

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You need to simplify the fraction `(-2y + 6)/(-8y)` , such that:

`(-2y + 6)/(-8y) = (-2(y - 3))/(-8y)`

Reducing duplicate factors yields:

`(-2(y - 3))/(-8y) = (y - 3)/(4y)`

`(-2y + 6)/(-8y) = y/(4y) - 3/(4y)`

Reducing duplicate factors yields:

`(-2y + 6)/(-8y) = 1/4 - 3/(4y)`

Hence, performing all possible simplifications, under the given conditions, yields `(-2y + 6)/(-8y) = 1/4 - 3/(4y).`

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