2x = 3y \(\Rightarrow\frac{x}{3}=\frac{y}{2}\Rightarrow\frac{x}{6}=\frac{y}{4}\)
3y = 4z - 2y \(\Rightarrow\)5y = 4z \(\Rightarrow\frac{y}{4}=\frac{z}{5}\)
\(\Rightarrow\frac{x}{6}=\frac{y}{4}=\frac{z}{5}=\frac{x+y+z}{6+4+5}=\frac{45}{15}=3\)
\(\Rightarrow x=18;y=12;z=15\)