Question 542085


{{{4(y-4)>2(5y+4)}}} Start with the given inequality.



{{{4y-16>10y+8}}} Distribute.



{{{4y>10y+8+16}}} Add {{{16}}} to both sides.



{{{4y-10y>8+16}}} Subtract {{{10y}}} from both sides.



{{{-6y>8+16}}} Combine like terms on the left side.



{{{-6y>24}}} Combine like terms on the right side.



{{{y<(24)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{y}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



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



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Answer:


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




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