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 \([- \frac{\pi}{2}, \frac{\pi}{2}]\).

Learn how to solve the equation y = -sin^-1(x) with a step-by-step solution. This problem explores the inverse sine function, its properties, and its application in trigonometry. Suitable for students in Grades 10-12.

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