Install 32-bit version of Oracle JDK 7 on a 64-bit Ubuntu?
Solution 1:
It sounds like the second answer there would default to installing 64-bit Java (and it is a third-party tool so I doubt you could easily do much about that).
Just use the first answer with the 32-bit Oracle JDK 7. It is complicated, but it is the official Oracle way of doing it. You just need to make sure it stays updated manually (i.e. download and reinstall when a new release is out).