How to generate random numbers to make fixed result?

I have this formula:

(x + y + (z-7))/4.8 = 3.2

I want to be able to generate random numbers (integer) from 1 to 6 for x and y, and 1 to 8 for z, in order to get to that 3.2 final result.

I tried nested loop but somehow it didn't work :( I'm learning Javascript.

I appreciate every help.