The equation shown in the image is:

$\sqrt{2} - 5i + y = 0$

To solve for $y$, we can isolate it on one side of the equation:

$y = -(\sqrt{2} - 5i)$

Thus,

$y = -\sqrt{2} + 5i$

So, the solution for $y$ is:

$y = -\sqrt{2} + 5i$

Would you like further details on this, or have any additional questions?

Here are five related questions you might explore:

1. How do we handle complex numbers in equations like this?
2. What are the properties of the imaginary unit $i$?
3. How do we solve similar equations with real and imaginary parts?
4. What is the meaning of the square root of 2 in different mathematical contexts?
5. How do we graph complex numbers on the complex plane?

Tip: When solving equations involving complex numbers, always remember to treat real and imaginary parts separately when simplifying.