1.Extract the YUMFILE_1.BIN (It's the biggest file) from the game.
2.Place the YUMFILE_1.BIN with the files from the patch archive.
4.Replace the YUMFILE_1.BIN with the patched version (rename it back to YUMFILE_1.BIN, of course) in the copy of the game using UMDGEN.
5.Replace the EBOOT.BIN with the decrypted version of Download Plus (Optional).
I might make a video explaining how to do it later; I'll put that on the list of things to do (This includes finishing my Let's Play of SP, two Let's Plays of iDOLM@STER 2, and a Let's Play of the Extra Episode/Gaiden).