Solve: $(7 y + 4) / (y + 2) = - 4 / 3$

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Solution

$(7 y + 4) / (y + 2) = - 4 / 3$
By the cross multiplication of terms,
$\Rightarrow 3 (7 y + 4) = - 4 (y + 2) \Rightarrow 21 y + 12 = - 4 y - 8 \Rightarrow 21 y + 4 y = - 8 - 12 \Rightarrow 25 y = - 20 \Rightarrow y = - 20 / 25 \Rightarrow y = - 4 / 5$
Hence $y = \frac{- 4}{5}$ is correct .

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