Accepted Answer
The wall will push back, in exactly the opposite direction, and with exactly the same size force.That's why the net force on the palm of your hand is zero, and that in turn is the reason that your hand doesn't accelerate.If you keep increasing the strength of your push, then eventually youexceed the force that the wall is capable of delivering. Then the wall crumbles and falls, your hand accelerates in the direction you're pushing, and the crowd goes wild !
Suggested Answer
The wall will push back.