A Y cable is the type of USB Lead with 2 USB Plugs that plug into the computer.
A USB Jack is the thing on the computer that you plug the USB Lead into.
When you talk about HDD Capacity you talk about the total size of the Hard Disc Drive not what is usable on it after being used. So if you have a 80 GIG HDD you should have both of the USB Plugs plugged into the computer on different USB Sockets.
The 2 USB plugs on the Lead that Plug into the computer are not the same one is only there to provide more power while the main one or the one closest to the end that you plug into the External Enclosure carries both Power and Data to and from the external enclosure.
Now the problem here may be the fact that Note Book Computers only have a small amount of power available at the USB Plug this is typically less than 500 Milli amps per USB Plug and a Hard Disc Drive requires considerably more power to run reliably. Because Note Books Computers are designed to run on a battery they save as much power as possible to allow it to run the computer longer. So things like USB Plugs do not have enough power by them self to run a HDD you need to use at least 2 of them and sometimes a external Power Adapter.
There is another possibility as well and that is if you use a external Powered USB Hub this is a USB Hub that typically has 1 USB in and 4 USB out and a Plug Pack that plugs into the Mains to provide the required power to any device that you plug in.
Because you can run 128 Devices off 1 USB Plug on a computer you need to use several Powered USB Hubs to drive the USB Devices that you have plugged into the USB Plug on the computer. No computer could provide enough power to power all 128 USB Devices that you can plug into a USB Computer Plug at a single time.
These USB Enclosures have a Plug for a Plug Pack to plug into to provide regulated Power to drive the Hard Disc Drive inside the Enclosure as well as any circuity that is involved.
I hope that clears things up for you.
Col