What is the process in which to unlock manually or with wireless entry the passenger door of a 2004 Toyota Solara?

Manually you can unlock the door using the inside lock (above the handle). Toggle it so the 'red' portion shows and the door is unlocked. With the remote, press the (unlock) button twice. The first press unlocks the driver side door, second press unlocks the passenger side. There's yet another option. You can set the door locks so both the driver and passenger doors unlock when you put the transmission in park (and lock when you put it in gear). You'll find that information on page 22 of your owners manual. Actually, you'll also find the other 'how to lock/unlock' info in the owners manual too. Cheers