If $\frac{4\mathrm{y}+1}{3}+\frac{2\mathrm{y}-1}{2}-\frac{3\mathrm{y}-7}{5}=6\text{, }$then y=

$$\begin{gathered} :\frac{4y+1}{3}+\frac{2y-1}{2}-\frac{3y-7}{5}=6 \\ \text{ L.C.M of }3,2,5=30 \\ \frac{10(4y+1)+15(2y-1)-(3y-7)6}{30}=6 \\ 40y+10+30y-15-18y+42=180 \\ 70y-18y+37=180 \\ 52y=180-37=143 \\ y=\frac{143}{52} \\ y=\frac{11}{4} \end{gathered}$$