\(\frac{15}{2}y-\frac{1}{3}\cdot\left(\frac{1}{4}y\right)=\frac{290}{3}\)
=> \(\frac{15y}{2}-\frac{1}{3}\cdot\frac{y}{4}=\frac{290}{3}\)
=> \(\frac{15y}{2}-\frac{y}{12}=\frac{290}{3}\)
=> \(\frac{90y}{12}-\frac{y}{12}=\frac{1160}{12}\)
=> \(90y-y=1160\)
=> \(89y=1160\)
=> \(y=\frac{1160}{89}\)