Question 13·Hard·Algebra

In the $xy$-plane, line $\ell$ is defined by $3x - 2y = 7$. A second line $m$ is defined by $kx + 6y = p$, where $k$ and $p$ are constants. The two lines intersect at a point that lies on the line $y = 2x - 1$. If $k = 4$, what is the value of $p$?