Question 164434


{{{-5(6y-8)<-35y+20}}} Start with the given inequality.



{{{-30y+40<-35y+20}}} Distribute.



{{{-30y<-35y+20-40}}} Subtract {{{40}}} from both sides.



{{{-30y+35y<20-40}}} Add {{{35y}}} to both sides.



{{{5y<20-40}}} Combine like terms on the left side.



{{{5y<-20}}} Combine like terms on the right side.



{{{y<(-20)/(5)}}} Divide both sides by {{{5}}} to isolate {{{y}}}. 



{{{y<-4}}} Reduce.



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Answer:


So the answer is {{{y<-4}}}