Note: Figure not drawn to scale. In the figure, line $k$ intersects line $n$. The angle labeled $x^{\circ }$ measures $(3y-10{)}^{\circ }$ and the angle labeled $145^{\circ }$ measures $(2y+35{)}^{\circ }$. What is the value of $y$?

(In this variation, the original $x^{\circ }$ is $(3y-10{)}^{\circ }$ and the original $145^{\circ }$ is $(2y+35{)}^{\circ }$.)