Nothing to edit.
In the backend go to Extensions, Module manager. There create the new module (button "New"). In the wizar select Custom HTML. In the details you can change the position (select "right") and the order (select the position that now have the Newflash module). Also select "off" in "Show Title" field.
Maybe you will have to come back and edit the module again to adjusts some settings but thats the general idea.