If an action leads to the greatest happiness of those it affects, no other action taken at the time could have led to greater happiness. So an action is right only if out of all the actions you could have done it leads to the greatest happiness.
Just causing some happiness, or more happiness than unhappiness isn't another to deem it morally right.
Act utilitarianism seems to provide a clear and simple way of making decisions: consider consequences of different actions you perform and choose the one bringing about the most happiness. It makes complicated decisions easy. The only thing that matter is happiness and surely everyone wants to be happy. We can figure out empirically how much happiness actions cause, and so we can solve moral issues by empirical investigation.
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