The equation given is:

$-y = \sin^{-1}(x)$

To solve for $y$, we need to get rid of the negative sign on the left-hand side. We can multiply both sides of the equation by $-1$:

$y = -\sin^{-1}(x)$

This is the solution for $y$.

In summary:

• $y$ is equal to the negative of the inverse sine (or arcsine) of $x$.

Do you want details on inverse trigonometric functions or have any other questions?

Here are some related questions you might find useful:

1. What is the domain and range of the arcsine function?
2. How does the graph of $y = -\sin^{-1}(x)$ look?
3. What are the properties of the arcsine function?
4. How do you differentiate $y = \sin^{-1}(x)$?
5. How do you solve equations involving multiple inverse trigonometric functions?

Tip: The arcsine function, $\sin^{-1}(x)$, has a range of $[- \frac{\pi}{2}, \frac{\pi}{2}]$.