discrete signals - Given the input and the output, how to determine the impulse response?

I would like to find the impulse response, $h[n]$, of an LTI system given the input

$$x[n] = [1,-3,2]$$

and the output

$$y[n] = [1,-1,-4,4]$$

I know that $y[t]=x[t]*h[t]$, but I am having hard time to figure out the right way to calculate the impulse response. I know very little about signal processing, so if you don't mind giving an easy explanation, then I appreciate it. Or, if it's possible to do an example, that's better.