Want to install JDK 7, but can't find matching packages in the default repo's

A first-line representative of Dreamhost’s tech support said that “user-installed software” is only supported here in the forums. Personally, I think that Java is supposed to be one of those ubiquitous packages that lots of people need and they ought to support, so…

I can’t seem to figure out how to install OpenJDK 7. When I use apt-get install and dpkg -i, both say there are no packages matching openjdk-7-jdk or -jre.

I’m logged in via ssh, elevated to root.

Wat do?

Go with OpenShift or GreenQloud for Java apps.