Answer
$\text{Set Builder Notation: }
\left\{ y|y\gt10 \right\}
\\\text{Interval Notation: }
\left( 10,\infty \right)$
Work Step by Step
Using the properties of inequality, then
\begin{array}{l}\require{cancel}
2y-7\gt13
\\\\
2y\gt13+7
\\\\
2y\gt20
\\\\
y\gt\dfrac{20}{2}
\\\\
y\gt10
.\end{array}
Hence, the solution set is
\begin{array}{l}\require{cancel}
\text{Set Builder Notation: }
\left\{ y|y\gt10 \right\}
\\\text{Interval Notation: }
\left( 10,\infty \right)
.\end{array}