Answer
$\left[ 18,\infty \right)$
Work Step by Step
Using the properties of inequality, the expression $
13y-(9y+2)\le5(y-6)+10
$ simplifies to
\begin{array}{l}
13y-9y-2\le 5y-30+10\\
4y-2\le 5y-20\\
4y-5y\le -20+2\\
-y\le -18\\
y\ge 18
.\end{array}
In interval notation, the solution set is $
\left[ 18,\infty \right)
$.
