You could reinstall faulty library by:
sudo apt purge libwebkit2gtk-4.0-37
sudo apt clean
You need to copy all packages that will be removed and install them again.
Installation of my list of removed packages looks as folows:
sudo apt install apturl atril budgie-countdown-applet budgie-desktop \
budgie-desktop-common budgie-desktop-environment \
budgie-desktop-minimal budgie-dropby-applet epiphany-browser \
evolution evolution-data-server evolution-plugin-bogofilter \
evolution-plugin-pstimport evolution-plugins gdm3 geary \
gir1.2-webkit2-4.0 gnome gnome-calendar gnome-contacts \
gnome-control-center gnome-core gnome-documents \
gnome-getting-started-docs gnome-maps gnome-online-accounts \
gnome-session gnome-shell gnome-shell-extensions gnome-sushi \
gnome-todo gnome-user-docs gnome-user-docs-ru gthumb \
libatrilview3 libedataserverui-1.2-2 libevolution \
libfolks-eds25 libgoa-backend-1.0-1 libwebkit2gtk-4.0-37 \
libyelp0 midori mutter rhythmbox-plugins shotwell \
ubuntu-budgie-desktop ubuntu-docs ubuntu-release-upgrader-gtk \
ubuntu-session update-manager update-notifier yelp zenity
Also, you could reinstall gnome-control-center
first (but do not forget to copy removed packages names, removing asterisk at the end of each and installing them again after removing command execution):
sudo apt purge gnome-control-center
sudo apt clean
sudo apt install gnome-control-center
Additionaly, make sure, you have proper /etc/apt/sources.list
records:
deb http://us.archive.ubuntu.com/ubuntu/ bionic main restricted
deb http://us.archive.ubuntu.com/ubuntu/ bionic-updates main restricted
deb http://us.archive.ubuntu.com/ubuntu/ bionic universe
deb http://us.archive.ubuntu.com/ubuntu/ bionic-updates universe
deb http://us.archive.ubuntu.com/ubuntu/ bionic multiverse
deb http://us.archive.ubuntu.com/ubuntu/ bionic-updates multiverse
deb http://security.ubuntu.com/ubuntu bionic-security main restricted
deb http://security.ubuntu.com/ubuntu bionic-security universe
deb http://security.ubuntu.com/ubuntu bionic-security multiverse
If your system contains repositories with newer packages that are not compatible with official repositories, than you could encounter issues like your.
Also, move everything from /etc/apt/sources.list.d/
into other backup folder somewhere on your disk.
Then do sudo apt clean && sudo apt update
and try to reinstall gnome-control-center
again.
Most likely you've tried to install something that required newer versions of standard gnome packages and added ppa that contained it. It mayby upgraded your existing packages, required for gnome-control-center
to work correctly.