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\(\dfrac{4}{51}\times y+y+y\times\dfrac{47}{51}=\dfrac{5}{4}+\dfrac{1}{6}\\y\times\left(\dfrac{4}{51}+1+\dfrac{47}{51}\right)= \dfrac{17}{12}\\ y\times2=\dfrac{17}{12}\\ y=\dfrac{17}{24}\)
a) \(\frac{7}{10}-y\cdot\frac{3}{4}=\frac{1}{5}\)
\(y\cdot\frac{3}{4}=\frac{7}{10}-\frac{1}{5}\)
\(y\cdot\frac{3}{4}=\frac{1}{2}\)
\(y=\frac{1}{2}:\frac{3}{4}\)
\(y=\frac{1}{2}\cdot\frac{4}{3}\)
\(y=\frac{2}{3}\)
b) \(\frac{5}{6}:\left(y+\frac{7}{9}\right)=\frac{3}{4}\)
\(y+\frac{7}{9}=\frac{5}{6}:\frac{3}{4}\)
\(y+\frac{7}{9}=\frac{5}{6}\cdot\frac{4}{3}\)
\(y+\frac{7}{9}=\frac{10}{9}\)
\(y=\frac{10}{9}-\frac{7}{9}\)
\(y=\frac{3}{9}=\frac{1}{3}\)
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a, \(\frac{7}{10}-y\times\frac{3}{4}=\frac{1}{5}\)
\(\Rightarrow y\times\frac{3}{4}=\frac{7}{10}-\frac{1}{5}\)
\(\Rightarrow y\times\frac{3}{4}=\frac{1}{2}\)
\(\Rightarrow y=\frac{1}{2}\div\frac{3}{4}\)
\(\Rightarrow y=\frac{1}{3}\)
b, \(\frac{5}{6}\div\left(y+\frac{7}{9}\right)=\frac{3}{4}\)
\(\Rightarrow y+\frac{7}{9}=\frac{5}{6}\div\frac{3}{4}\)
\(\Rightarrow y+\frac{7}{9}=\frac{10}{9}\)
\(\Rightarrow y=\frac{10}{9}-\frac{7}{9}\)
\(\Rightarrow y=\frac{1}{3}\)
9/4 - y × 5/6 = 1/2 + 1/3
9/4 - y × 5/6 = 5/6
y × 5/6 = 9/4 - 5/6
y × 5/6 = 17/12
y = 17/12 : 5/6
y = 17/10
7/4-y x 5/6 = 1/2+1/3
7/4-y x 5/6=5/6
y x 5/6=7/4-5/6
y x 5/6=11/12
y=11/12 : 5/6
y=11/10
\(\frac{7}{4}-y\times\frac{5}{6}=\frac{1}{2}+\frac{1}{3}\)
\(\frac{7}{4}-y\times\frac{5}{6}=\frac{5}{6}\)
\(\frac{7}{4}-y=\frac{5}{6}\div\frac{5}{6}\)
\(\frac{7}{4}-y=1\)
\(y=1+\frac{7}{4}\)
\(y=\frac{11}{4}\)
\(\frac{9}{4}-y\times\frac{5}{6}=\frac{1}{2}+\frac{2}{3}\)
\(\frac{9}{4}-y\times\frac{5}{6}=\frac{7}{6}\)
\(y\times\frac{5}{6}=\frac{9}{4}-\frac{7}{6}\)
\(y\times\frac{5}{6}=\frac{13}{12}\)
\(y=\frac{13}{12}:\frac{5}{6}\)
\(y=\frac{13}{10}\)
Y=\(\frac{17}{12}\)