\(\frac{9}{4}-y\cdot\frac{5}{6}=\frac{1}{2}+\frac{2}{3}\)
\(\Rightarrow\frac{9}{4}-y\cdot\frac{5}{6}=\frac{7}{6}\)
\(\Rightarrow\frac{9}{4}-y=\frac{7}{6}:\frac{5}{6}\)
\(\Rightarrow\frac{9}{4}-y=\frac{7}{5}\)
\(\Rightarrow y=\frac{9}{4}-\frac{7}{5}=\frac{17}{20}\)