\begin{eqnarray} \dot{Y} &=& \frac{1}{R_{1}} + \frac{1}{j\omega L_{1}} + \frac{1}{R_{2}+j\omega L_{2}}\nonumber\\ &=& \frac{3}{5} + \frac{1}{j100\pi\times \frac{5}{100\pi}} + \frac{1}{2 + j100\pi \times \frac{1}{100\pi}}\nonumber\\ &=& \frac{3}{5} + \frac{1}{j5} + \frac{1}{2 +j}\nonumber\\ &=& \frac{3}{5} - j \frac{1}{5} + \frac{2 - j}{4+1}\nonumber\\ &=& \frac{3}{5} - j \frac{1}{5} + \frac{2 - j}{5}\nonumber\\ &=& \frac{3}{5} + \frac{2}{5} - j \frac{1}{5} - j\frac{1}{5}\nonumber\\ &=& \underline{1 - j \frac{2}{5}} \end{eqnarray}