It depends if the street opposite is two-way or one-way, and where the cars are turning on the street you are on. If the street opposite is two way, most times you stay on left so you can easily drive across. Here is where the tricky part comes in.
Do vehicles on the street you are on turn left? right? or both? Because you don't want to be on the left and while you getting ready to drive across, a vehicle next to you want to turn left, or you are on the right wanting to drive across and the vehicle next to you want to turn right. If the street you are on the cars turn left and right, stay on your left to go across because vehicles turning left have to stay on the left while vehicles turning right must stay on the right. What you might encounter here is a driver who figure one side long with traffic would want to overtake so while you driving across or turning, you see a vehicle in the review mirror want to overtake you or jam up on your back bumper when merging.