So the first step in this problem is to find y' implicitly.
I managed to get that into this form
I then need to find the equation of the tangent line at point $(-1, -8),$ but I cannot plug $-1$ into the derivative using point slope because y is on both sides. Simply plugging in $x$ and $y$ gives me an imaginary number which I don't believe is right. I'm definitely stuck and could use any advice, thanks in advance.