It sounds like the wheel is either not tight(Quick release or axle nuts loose), the hub is out of adjustment(loose) or the spoke tension is very low. All of these things can be fixed by someone that knows what to look for and what to do.
You did not get a "crappy" bike per say. the problem is that most Motobecanes are sold online and the end user(you) puts them together. This can cause problems with any bike, depending on the skill of the person that puts the bike together, this can be a problem at a bike shop as well, but there is more recourse when you can take it back to the shop if you have an issue and there is more than one person checking the bike out to begin with.
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