Given the initial inequality
[tex]-2y\ge-16[/tex]
Solve as shown below,
[tex]\begin{gathered} -2y\ge-16 \\ \Rightarrow(-1)\cdot-2y\le(-1)\cdot-16 \\ \Rightarrow2y\le16 \\ \Rightarrow\frac{1}{2}\cdot2y\le\frac{1}{2}\cdot16 \\ \Rightarrow y\le\frac{16}{2}=8 \\ \Rightarrow y\le8 \end{gathered}[/tex]
The answer is y<=8
