Answer
$y\approx0.42$
Work Step by Step
Multiplying both sides by the $LCD=
3.2y
,$ then the solution to the given equation, $
\dfrac{10.6}{y}-14.7=\dfrac{9.92}{3.2}+7.6
,$ is
\begin{array}{l}\require{cancel}
3.2(10.6)-3.2y(14.7)=y(9.92)+3.2y(7.6)
\\\\
33.92-47.04y=9.92y+24.32y
\\\\
-47.04y-9.92y-24.32y=-33.92
\\\\
-81.28y=-33.92
\\\\
y=\dfrac{-33.92}{-81.28}
\\\\
y\approx0.42
.\end{array}
