#### Answer

$y\lt\dfrac{6}{5}$

#### Work Step by Step

Using the properties of inequality, then
\begin{array}{l}\require{cancel}
10-5y\gt4
\\\\
-5y\gt4-10
\\\\
-5y\gt-6
.\end{array}
Dividing both sides by a negative number (and consequently reversing the inequality symbol), then
\begin{array}{l}\require{cancel}
-5y\gt-6
\\\\
y\lt\dfrac{-6}{-5}
\\\\
y\lt\dfrac{6}{5}
.\end{array}