Comment 3 for bug 1595765

it seems the package is incompatible with the 4.7 kernel, which it's shows when booted in it and trying to reinstall.

there is in issue open here:
https://github.com/longsleep/bcmwl-ubuntu/issues/17

I tried to build that version and after installing I got:
Unpacking bcmwl-kernel-source (6.30.223.271+bdcom-1longsleep0) over (6.30.223.248+bdcom-0ubuntu8) ...
Setting up bcmwl-kernel-source (6.30.223.271+bdcom-1longsleep0) ...
Loading new bcmwl-6.30.223.271+bdcom DKMS files...
Building only for 4.7.0-994-generic
Building for architecture x86_64
Building initial module for 4.7.0-994-generic
ERROR (dkms apport): kernel package linux-headers-4.7.0-994-generic is not supported
Error! Bad return status for module build on kernel: 4.7.0-994-generic (x86_64)
Consult /var/lib/dkms/bcmwl/6.30.223.271+bdcom/build/make.log for more information.
modprobe: FATAL: Module wl not found in directory /lib/modules/4.7.0-994-generic
update-initramfs: deferring update (trigger activated)
Processing triggers for initramfs-tools (0.122ubuntu8.1) ...

there is many errors in the log, probably needs quite some modification.
Feel happy to try and fix it, I really do not have the time at the moment