This is what it worked for me:

1. Download skype for linux from the site and install it

2. Then install libv4l-0 binary:

sudo apt-get install libv4l-0:i386

3. To run skype:

LD_PRELOAD=/usr/lib/x86_64-linux-gnu/libv4l/v4l1compat.so skypeforlinux

4. Create a file with LD_PRELOAD=/usr/lib/x86_64-linux-gnu/libv4l/v4l1compat.so skypeforlinux inside, save it and make it executable.

I hope it helps