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Accounting equation: does income really decrease equity?
Equity is the term to make things balance. In a simple transaction, you get $100 paid to you. Income goes up by $100 and the asset of whatever bank account or petty cash drawer you put it into also goes up by $100. Equity is unchanged. If for some reason you had to take some income into your books, but no asset increased, no debt decreased, and you had no way to take an offsetting expense into your books, then this would lower your equity. How else to explain having "earned" $100 but having nothing to show for it?