Answer
$y\gt5$
Work Step by Step
Using the properties of inequality, the solution to the given inequality, $
3(2y-3)\gt21
,$ is
\begin{array}{l}\require{cancel}
3(2y)+3(-3)\gt21
\\\\
6y-9\gt21
\\\\
6y\gt21+9
\\\\
6y\gt30
\\\\
y\gt\dfrac{30}{6}
\\\\
y\gt5
.\end{array}