Answer
$-\frac{4}{5}\geq y$
Work Step by Step
Multiply both sides by $-\frac{4}{5}$; switch the inequality sign.
$1\leq-\frac{5}{4}y$
$1\times-\frac{4}{5}\geq-\frac{5}{4}y\times-\frac{4}{5}$
$-\frac{4}{5}\geq y$
Check that $-\frac{4}{5}$ is a solution at the limit.
$1=-\frac{5}{4}(-\frac{4}{5})$
$1=1\checkmark$
Check that a number less than $-\frac{4}{5}$ is a solution.
$1\leq-\frac{5}{4}\times-1$
$1\leq\frac{5}{4}\checkmark$