In the solution to this system, what is the value of y?

$\displaystyle-{4}{x}-{y}+{6}{z}=-{8}\usepackage{cmbright}\Huge\$

$\displaystyle-{2}{x}-{y}+{4}{z}=-{2}\usepackage{cmbright}\Huge\$

$\displaystyle{3}{x}+{y}+{4}{z}={14}\usepackage{cmbright}\Huge\$

$\displaystyle{y}=\usepackage{cmbright}\Huge\$ _____