+1348 Let $A,$ $B,$ $C,$ and $D$ be four distinct, collinear points in the Cartesian plane. The point $C$ is such that $\dfrac{AB}{CB} = \dfrac{1}{3}$ and the point $D$ is such that $\dfrac{DA}{BA} = 2$ and $\dfrac{DB}{BA} = 3.$ If $C = (0, 4),$ $D = (4, 0),$ and $A = (x, y),$ what is the value of $2x + y$?
