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# Relating Variables: $z$ in Terms of $y$

ACTMAT-LEKOFN

If $x=2{ y }^{ 3 }$ and $z={ x }^{ 2 }-2x$, which of the following expresses $z$ in terms of $y$?

A

$2{ y }^{ 6 }-4{ y }^{ 3 }$

B

$4{ y }^{ 5 }-4{ y }^{ 3 }$

C

${ y }^{ 3 }$

D

${ y }^{ 2 }$

E

$4{ y }^{ 6 }-4{ y }^{ 3 }$