Answer
$y\gt-5$
Work Step by Step
Multiplying both sides by the $LCD=
15
$ and using the properties of inequality, the solution to the given expression, $
\dfrac{y-1}{15}\gt-\dfrac{2}{5}
,$ is
\begin{array}{l}\require{cancel}
1(y-1)\gt3(-2)
\\\\
y-1\gt-6
\\\\
y\gt-6+1
\\\\
y\gt-5
.\end{array}
