I just wanted to check if my answer is correct

Answer
[tex]z=\frac{y}{w-c^5}[/tex]Explanation
Given:
[tex]y=zw-zc^5[/tex]Factor z out in the right hand side of the equation
[tex]y=z(w-c^5)[/tex]Divide both sides by w - c⁵
[tex]\begin{gathered} \frac{y}{w-c^5}=\frac{z(w-c^5)}{w-c^5} \\ \\ z=\frac{y}{w-c^5} \end{gathered}[/tex]