There's no way (that I'm aware of) to tether a window to another and minimize/maximize them with a single click. But there are quick, convenient workarounds to this. Start with snap-fit windows: a browser and an editor side by side. You can use the following shortcuts:
Win is the Windows button
- To minimize both windows simultaneously, press Win+M
- To maximize both windows really quickly, press Ctrl+Win+1 and Ctrl+Win+2 in succession. This is assuming your browser and editor windows are the first and second windows shown in your taskbar as below

Rather than figure out a way to tinker around with Windows settings/API, it makes much more sense to become familiar with all of Windows 7's keyboard shortcuts.
A quick way to snap-fit any window (regardless of size, position) is to press Ctrl+left arrow for a left snap-fit and Ctrl+right arrow to push it to the right. I had no idea about many of these shortcuts, hope they help