The reflection of the right triangle ABC given in the rectangular coordinate plane with respect to the y-axis is taken, and the triangle $A'B'C'$ is obtained such that A is paired with $A'$, B with $B'$, and C with $C'$ as symmetric point pairs. This obtained triangle is then rotated $90^{\circ}$ clockwise around point $A'$.
As a result of this rotation, what are the coordinates of the B'' point corresponding to $\mathrm{B}'$?
A) $(0, 3)$
B) $(2, 4)$
C) $(3, 5)$
D) $(4, 6)$
E) $(5, 4)$