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Find the solution to the following system.
$ \left \{ \begin{array}{cc} {y}={3}{x}+{14}\\{5}{x}-{6}{y}={-32} \end{array} \right. $

A. ${x}={-4}, \;{y}={2}$
B. ${x}={2}, \;{y}={-4}$
C. ${x}={4}, \;{y}={2}$
D. ${x}={-4}, \;{y}={-2}$
E. ${x}={-2}, \;{y}={4}$