As the above say, a 'light year' is just the distance light travels in one year. So this new planet (Super Earth as it seems to be called sometimes), is about 20 light years away. This means that it would take 20 years for light to reach it from us.
So, the problem really is not working out what a light year, but actually what the speed of light is. This can be done in several ways, but one way (theoretical, with maths), was after some great work by a guy called Maxwell in the late 19th century. Essentially it relates the speed of light to some fundamental constants, making the speed of light itself a fundamental constant.
The equation at the bottom of the overview section in this article is what I'm talking about:
http://en.wikipedia.org/wiki/Speed_of_light#Ov erview