7y+4/y+2= 4/3 ⇒ 3(7y+4)= 4(y+2) ⇒ 21y+12= 4y 8 ⇒ 21y+4y= 8 12 ⇒ 25y= 20 ⇒ y= 20/25 ⇒ y= 4/5Therefore, the solution of 7y+4/y+2= 4/3 is y= 4/5. ...

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Solving Equations with Variables on Both Sides

Solve:7y+4/y+...

Question

Solve:
$\frac{7 y + 4}{y + 2} = \frac{- 4}{3}$

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Solution

$\frac{7 y + 4}{y + 2} = \frac{- 4}{3} \Rightarrow 3 (7 y + 4) = - 4 (y + 2)$
$\Rightarrow 21 y + 12 = - 4 y - 8 \Rightarrow 21 y + 4 y = - 8 - 12$
$\Rightarrow 25 y = - 20 \Rightarrow y = \frac{- 20}{25}$
$\Rightarrow y = \frac{- 4}{5}$
Therefore, the solution of $\frac{7 y + 4}{y + 2} = \frac{- 4}{3}$ is $y = \frac{- 4}{5}$ .

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