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Find the solution to the following system.
$ \left \{ \begin{array}{cc} {y}={2}{x}+{12}\\{4}{x}-{3}{y}={-26} \end{array} \right. $

A. ${x}={-5}, \;{y}={2}$
B. ${x}={2}, \;{y}={-5}$
C. ${x}={5}, \;{y}={2}$
D. ${x}={-5}, \;{y}={-2}$
E. ${x}={-2}, \;{y}={5}$