I too agree with the 2nd poster. It depends on the traffic. If everyone is already stopped at the light, then it is a piece of cake. Just change lanes and go. But if traffic is heavy and moving quickly, then I too ride across in the right hand land, then stop and turn 90 degrees on the other side and wait for the light to turn green going the other way.
I have also done the "oh dang, no cars are in the left turn lane to trip the light" turn too. That is where I sit in the left turn lane through one series, unable to turn because the left turn signal never changes. So I wait until the cross traffic is moving, go left in the cross walk, hit the pedestrian signal, then cross to the other side and ride on.
You do what you can to get across town and keep from getting run over.