What iteration method to use?

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My problem is this:

I have a target value for x and I have to make an initial guess for y because it's unknown at the beginning. Then I make several calculations and finally get a calculated value for x. If my new x is not the same as the target value x I increase or decrease value y by certain small step and repeat all calculations until I find the solution for x.

I hope you get the idea without code. I tried doing this with while loop. It works but if my initial guess for y is far from the actual solution this may require lot's of iterations. My model will have several similar iterations loops so I wonder if there is more efficient iteration method available in Matlab? I'm new with Matlab and so far I haven't found the right tool for this.