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# Strategic Solving

SATMAT-GG4KJS

$\begin{cases}\frac{2}{9}x-\frac{1}{2}y=2 \\\\Cx+\frac{2}{3}y=\frac{1}{3}y-2Cx \end{cases}$

In the system of equations shown above, the solution of the system has a $y$ -value of -6.

Find the value of $-9C\\\$.

A

$-\cfrac { 4 }{ 27 } \\\$

B

$-4\cfrac { 1 }{ 2 }$

C

$\cfrac { 4 }{ 3 } \\\$

D

$-\cfrac { 1 }{ 2 } \\\$