Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\left\{y|y\ge-\dfrac{8}{3} \right\} \text{ or } \left[ -\dfrac{8}{3},\infty \right)$
Using the properties of inequality, the given inequality, $2-6y\le18 ,$ is equivalent to \begin{array}{l}\require{cancel} -6y\le18-2 \\\\ -6y\le16 \\\\ y\ge\dfrac{16}{-6} \\\\ y\ge-\dfrac{8}{3} .\end{array} Hence, the solution is $\left\{y|y\ge-\dfrac{8}{3} \right\} \text{ or } \left[ -\dfrac{8}{3},\infty \right) .$