Re: Side to Side Movement in loewr unit??
The play in your drive is usually a sign of a worn gimbal ring on an older boat. Changing a gimbal ring is considered a major operation by most people, it'll typically cost you several thousand dollars to have a dealer do it.
If you look towards the top of your gimbal ring (#1 in the diagram) from below, you will see the bottom of the gimbal pin (#14 in the diagram). Move your drive back and forth by hand and you should not see any play between the gimbal pin and the gimbal ring. Any play at all means that the steel pin has worn the aluminum gimbal ring. Any wear at all at the pin translates into a lot of back and forth movement at the end of the outdrive. If the gimbal pin doesn't move when you wiggle the drive, but your gimbal ring and drive do, then you need a new gimbal ring.
Red arrow is pointing to the bottom of the gimbal pin (kind of hard to see) in the pic below. This is a pic of a Bravo gimbal ring, Alpha will look the same except the nuts will be bolt heads (Bravo uses a U-bolt):