I need to simply this equation, but I got stuck.

h/(4-sqrt(16+h)) = y

First, I multiplied (4+sqrt(16+h)/(4+sqrt(16+h) to both sides, and I ended up with h(4+sqrt(16+h)/-h. Is this correct? (I tried to graph both equations to see if I would get the same graph, but I didn't, which means it's wrong.)
Please help me out!

h/(4-sqrt(16+h))*(4+sqrt(16+h))/(4+sqrt(16+h))

h(4+sqrt(16+h))/4-(16-h)=

h(4+sqrt(16+h))/(-12-h)= then proceed. There is not much you can do.

Let's break down your steps and simplify the equation further:

Starting with the equation:

h/(4 - sqrt(16 + h)) = y

To eliminate the fraction, you multiplied both sides by (4 + sqrt(16 + h))/(4 + sqrt(16 + h)). That is correct.

The next step is to simplify the denominator on the left side:

h(4 + sqrt(16 + h))/(4 - sqrt(16 + h)) = y(4 + sqrt(16 + h))/(4 + sqrt(16 + h))

Now, let's expand the denominators and simplify:

h(4 + sqrt(16 + h))/(4 - sqrt(16 + h)) = y(4 + sqrt(16 + h))/(4 + sqrt(16 + h))

= (4h + h*sqrt(16 + h))/(4 - sqrt(16 + h)) = (y*4 + y*sqrt(16 + h))/(4 + sqrt(16 + h))

Now, it seems you made an error in your calculations. To solve this equation further, we cannot simplify it any further. It is often challenging to simplify equations with radicals on both sides, and in this case, it is not possible to express it in a simpler form algebraically.

If you tried graphing both sides of the equation to verify their equality and they did not overlap, it suggests a possibility of an error in your calculations or plotting. I encourage you to double-check and ensure the correctness of your calculations, and try plotting them again.