Is there a way to simplify the left hand-side of this algebra problem to solve for Y? ((60/s)/4)*60 = Y?

Well, I'm not sure how simplified you want it considering you have two variables in this equation. It seems you already did part of it with (60/s)*60 = 4y.
Just multiply 60*60 which = 3600 then divide by 4, which gives you 900s = Y
The other way you could do it was write it as (60/4s)*60 = Y
Just divide 60/4 = 15 then multiply by 60 to give you 900s = Y
I don't know what the value of s is or what the equation represents but that is probably as simplified as you are going to get without any more information.

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