This post (and Shyster's responses) make me so happy. Tif, I know your skies are absurdly light-polluted, but for those trips out into the dark sky areas, I recommend either the Heavens Above app (awesome) or this site:Annnnnnnnd not only did I just learn that yes you can see it with the unaided eye, NASA operates a website that tracks its orbit in real time so you know where to look.
https://spotthestation.nasa.gov/tracking_map.cfm
https://in-the-sky.org/satpasses.php
I have stood outside after sunset often and just looked up. Of course, you can only view ISS/satellite flybys within a couple of hours of sunset/sunrise since the Earth's shadow will block your view after that. But I have always been amazed at just how many satellites I can see going over in a 30 minute span. To the trained eye, you can pick them right away. About the brightness of a moderately bright star, moving steadily across the sky, taking about 3-6 minutes from horizon to horizon.
The other cool thing is how you can literally watch them slowly fade out as they move from west to east, as they move into the Earth's shadow. And yes, as Shyster said, you are not seeing the lights, you are seeing the sun reflecting off of the panels.