-y^(-1) = 1/2x^2 - 3/2

Question

How to simplify this to y equals? Getting rid of the exponent?

Answer 1

-y^(-1) = 1/2x^2 - 3/2
-1/y = (x^2-3)/2
-y = 2/(x^2-3)
y = 2/(3-x^2)