\(\frac{4}{11}.y-\frac{6}{11}=\frac{2}{5}\Leftrightarrow\frac{4}{11}y=\frac{2}{5}+\frac{6}{11}\)
\(\Leftrightarrow\frac{4}{11}y=\frac{52}{55}\Rightarrow y=\frac{52}{55}:\frac{4}{11}\)
\(\Rightarrow y=\frac{13}{5}\)
\(\frac{4}{11}\times y-\frac{6}{11}=\frac{2}{5}\)
\(\Rightarrow\frac{4}{11}\times y=\frac{2}{6}+\frac{6}{11}\)
\(\Rightarrow\frac{4}{11}\times y=\frac{29}{33}\)
\(\Rightarrow y=\frac{29}{33}:\frac{4}{11}\)
\(\Rightarrow y=\frac{29}{33}\times\frac{11}{4}\)
\(\Rightarrow y=\frac{29}{12}\)
\(\frac{4}{11}\times y-\frac{6}{11}=\frac{2}{5}\)\(\Rightarrow\frac{4\times y}{11}-\frac{6}{11}=\frac{2}{5}\)
\(\Rightarrow\frac{4y-6}{11}=\frac{2}{5}\)\(\Rightarrow4y-6=\frac{2}{5}\times11\)
\(\Rightarrow4y-6=\frac{22}{5}\)\(\Rightarrow4y=\frac{22}{5}+6=\frac{22}{5}+\frac{30}{5}=\frac{52}{5}\)
\(\Rightarrow y=\frac{52}{5}\div4=\frac{52}{20}=\frac{13}{5}\)
\(\frac{4}{11}\cdot y-\frac{6}{11}=\frac{2}{5}\)
\(\frac{4}{11}\cdot y=\frac{2}{5}+\frac{6}{11}\)
\(\frac{4}{11}\cdot y=\frac{52}{55}\)
\(y=\frac{52}{55}:\frac{4}{11}\)
\(y=\frac{52}{55}\cdot\frac{11}{4}\)
\(y=\frac{13\cdot4\cdot11}{11\cdot5\cdot4}\)
\(y=\frac{13}{5}\)
\(\frac{4}{11}.y-\frac{6}{11}=\frac{2}{5}\)
\(\frac{4}{11}.y=\frac{2}{5}+\frac{6}{11}\)
\(\frac{4}{11}.y=\frac{52}{55}\)
\(y=\frac{52}{55}\div\frac{4}{11}\)
\(y=\frac{13}{5}\)