Answer
$y\gt-2$
Work Step by Step
$-5y-2\lt8$ $\longrightarrow$ add 2 to both sides
$-5y-2+2\lt8+2$ $\longrightarrow$ simplify
$-5y\lt10$ $\longrightarrow$ divide both sides by -5; reverse the inequaity sign
$-5y\div-5\gt10\div-5$ $\longrightarrow$ simplify
$y\gt-2$
check the inequality
$-5(0)-2\lt8$
$0-2\lt8$
$-2\lt8\checkmark$
