Evaluate the Triple Integral $\iiint _ { E } y d V$

Multiple Choice

Evaluate the triple integral $\iiint _ { E } y d V$ , where E is the solid bounded by the coordinate planes and the plane 2x + y + z = 4.

A) 1
B) $\frac { 3 } { 16 }$
C) $\frac { 8 } { 3 }$
D) $\frac { 3 } { 8 }$
E) $\frac { 2 } { 3 }$
F) $\frac { 16 } { 3 }$
G) $\frac { 32 } { 3 }$
H) $\frac { 3 } { 32 }$