First try to enter the full path: "C:\Windows\Explorer.exe". If that also fails, try "C:\Windows\Notepad.exe", & skip to (f) below.
Otherwise, get to Notepad in the recovery environment. of Installation Media...
(a) Plug in the Win 10 Installation Media (see below). Also
plug in a USB drive on which to copy files.
(b) Boot to the Installation Media through the
BIOS Boot Menu. You press a key during boot at the manufacturer's logo screen. Find your key here...
https://www.sysnative.com/forums/hardware-tutorials/23010-get-access-bios-settings-boot-menu-f-keys-hotkeys-system-manufacturer-oem.html
Get access to BIOS settings & Boot Menu: F-keys/Hotkeys by System Manufacturer (OEM)
Note: That's a 3rd-party site. The literature is good. I know nothing of any downloads or links at that site.
(c) When the Installation media boots, get to the 2nd screen, & click "Repair your computer". This will boot to the Recovery Environment at the "Choose an option" screen.
(d) Click "Troubleshoot > Advanced Options > Command Prompt".
A Command Prompt will open.
(e) Enter "Notepad" into the prompt. It will open in full GUI mode.
(f) Select "Open" from Notepad's File menu.
(g) At the bottom right of the Open requestor, set it to read
All Files...

(h) Now all files should show up. Don't try to open any of them except maybe text files. But browse to - especially - "C:\Users<Username>", right-click it in the left pane, & select "Copy".
Then click the letter of the USB drive in the left pane (not the one that holds the Installation media). Right-click in the right pane, & select "Paste". Do the same for "C:\Windows.old\Users<Username>", if it exists. That
would get all the stuff of the user. I guess you could be more selective, & just take the subfolders that hold your data.
(I) Close the "Open" requestor, Notepad, & the Command Prompt.
After all that, try the repair-install again. It was also written up at this site (that Kyle62 found)…
https://mspoweruser.com/avast-issues-a-fix-for-the-windows-10-april-2018-update-problem/
Avast issues a fix for the Windows 10 April 2018 Update problem
Note: That's a 3rd-party site. Looks good, but I know nothing of links or downloads there.
It's an excellent write-up of what others have been posting in this thread to achieve a repair-install that keeps everything. Except...
At step 9, be sure to match
Edition (Home, Pro, etc.) & Language as well as
Architecture (x64/64-bit or x86/32-bit).