Question

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

Answer 1

$$\begin{gathered} \frac{7y+4}{y+2}=\frac{-4}{3} \\ \Rightarrow 3(7y+4)=-4(y+2)(\mathrm{by}\mathrm{cross}\mathrm{multiplication}) \\ \Rightarrow 21y+12=-4y-8 \\ \Rightarrow 21y+4y=-8-12 \\ \Rightarrow 25y=-20 \\ \Rightarrow y=\frac{-20}{25}=\frac{-4}{5} \\ \therefore y=\frac{-4}{5} \end{gathered}$$