Just drag a red or yellow counter and its row (red) or column (orange) will all move. Dragging on an orange (overlap) counter will move whichever colour was dragged last. You can also click large button with arrows to change the colour.
Triangle for a new game, ? for a hint, white flag to solve (try this first to see what?s going on). The bottom button gets you the Settings screen, where you can adjust difficulty as well as colour and sound options.