According to the information given in the statement you have
[tex]32+6g\le80[/tex]Where g is the number of guppy fish that Rebecca can purchase.
Now, solving the inequation you have
[tex]\begin{gathered} 32+6g\le80 \\ \text{ Subtract }32\text{ from both sides of the inequality} \\ 32+6g-32\le80-32 \\ 6g\le48 \\ \text{ Divide }by\text{ 6 on both sides of the inequality} \\ \frac{6g}{6}\le\frac{48}{6} \\ g\le6 \end{gathered}[/tex]Therefore, Rebecca can purchase 6 guppy fish.