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jeka94
4 years ago
7

Please help me i’m confused

Mathematics
1 answer:
mafiozo [28]4 years ago
3 0
Sorry but i’m confused too
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What is the solution of -8 / 2 y - 8 equals 5 / y + 4 - 7 y + 8 / Y 2 - 16​
AysviL [449]

Answer:

The value of y is 6.

Step-by-step explanation:

The given equation is

\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}

It can be rewritten as

\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}+\dfrac{7y+8}{y^2-4^2}

\dfrac{-4}{(y-4)}=\dfrac{5}{y+4}+\dfrac{7y+8}{(y+4)(y-4)}

Multiply both sides by (y+4)(y-4).

(y+4)(y-4)(\dfrac{-4}{(y-4)})=(y+4)(y-4)(\dfrac{5}{y+4})+(y+4)(y-4)(\dfrac{7y+8}{(y+4)(y-4)})

(y+4)(-4)=(y-4)(5)+7y+8

-4y-16=5y-20-(7y+8)

-4y-16=5y-20-7y-8

-4y-16=-2y-28

-4y+2y=-28+16

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Divide both sides by -2.

y=6

Therefore, the value of y is 6.

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