Newbie question on long equations with regression output

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I'm confused as to the kind of math that economists due, specifically in their data analysis. Sometimes I see economists make really long, complex, seemingly novel equations and then--bang!--there's a regression table on the next page. The whole thing seems really disconnected. I understand multiple regression and lots of other types of regression models very well, but I don't even know what kind of subject to start looking into when I study these economics papers. It is econometrics? It seems much more abstract that traditional panel data stuff.

Ugh!

Thank you