I keep getting, "We couldn’t update the reserved partition" when I try to install Win10. I downloaded it onto a flash drive and then copied that to the desktop. I also tried it from the flash drive itself.

The reserve partition seems to be a common problem with upgrades. The directions below are fairly common in trying to solve this problem. They refer to Win8.1, but the same thing can be found for Win10. The thing is, I don't have that 100MB boot partition. As you can see, my boot partition is about 464GB.

Are these directions telling me to rename C: to Y:? I'm open to suggestions.

From the web page -

"1. Press Win + R, type diskmgmt.msc and click OK.
Right click the boot partition listed at 100MB in a map, select Change drive letters and paths > Add, and choose Y: for it.
2. Press Win + X, select Command Prompt (admin), and run the commands one by one:

Y:
takeown /f . /r /d y
icacls . /grant administrators:F /t
attrib -h -s -r bootmgr

3.Open File explorer, go to Y:\Boot, delete all except en-US. languages.
4.Run command again:
chkdsk Y: /F /X /sdcleanup /L:5000

5. Now you can start the 8.1 installation. After upgrade has been done, go back to remove the drive letter."

Every time I start the computer, MS goes through the installation process. It always stops at the same point and says, "We couldn't update the reserved partition." There is no suggestion about what to do.

Taking someone's advice, I downloaded the upgrade to a flash drive and was able to upgrade my Win7 machine, but that didn't work on the Win8 computer. I'm trying not to make my life hard by waiting till I find a solution that will work. I don't want to mess around with the registry or format my drive. Eventually, a solution will come.

I have a HP Laptop that was running 8.1. At the same time I got the message from Microsoft to say 10 was available I got another message from HP suggesting they ran a diagnostics test and sorted out anything that might cause a problem installing 10. HP made a number of updates and changes to my computer before coming up with a message to say it was good to go with the 10 installation.
I went ahead with it and the whole thing was up and running in about 50 minutes without a hitch. I'm wondering what the installation attempt might have gone like without the HP changes.

Whatever you do, don't rename your C: drive to Y:.

Microsoft, in previous releases of Windows, had OEMs build their machines with a RESTORE partition that was inaccessible to the average user. It had a clean build of Windows on it so that if a user trashed his system, he could hit the restore button and Windows would do a clean reinstall.

The upgrade to Windows 10 apparently requires the RESTORE partition--for the same reason. If for whatever reason your system does not have that partition, you might not be eligible for the upgrade. This could be one of the ways Microsoft is checking for legitimate Windows installations.

At one time I had thought about deleting the RESTORE partition on my computer, as many people claimed that you'd never need it. I guess they were wrong, and I'm glad I didn't.

Are you prowling Microsoft's TechNet site? I'd say the chances of finding useful information there is higher than here.