Question 179432
{{{(1/4)(8y+4)-34<-(1/3)(9y-6)}}} Start with the given inequality.



{{{3(8y+4)-408<-4(9y-6)}}} Multiply EVERY term (except the terms in the parenthesis) by the LCD 12 to clear the fractions.



{{{24y+12-408<-36y+24}}} Distribute.



{{{24y-396<-36y+24}}} Combine like terms on the left side.



{{{24y<-36y+24+396}}} Add {{{396}}} to both sides.



{{{24y+36y<24+396}}} Add {{{36y}}} to both sides.



{{{60y<24+396}}} Combine like terms on the left side.



{{{60y<420}}} Combine like terms on the right side.



{{{y<(420)/(60)}}} Divide both sides by {{{60}}} to isolate {{{y}}}. 



{{{y<7}}} Reduce.



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Answer:


So the answer is {{{y<7}}}




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