Question 121074


{{{2(4y-8)>=3(4y+5)}}} Start with the given inequality




{{{8y-16>=12y+15}}} Distribute



{{{8y>=12y+15+16}}}Add 16 to both sides



{{{8y-12y>=15+16}}} Subtract 12y from both sides



{{{-4y>=15+16}}} Combine like terms on the left side



{{{-4y>=31}}} Combine like terms on the right side



{{{y<=(31)/(-4)}}} Divide both sides by -4 to isolate y  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{y<=-31/4}}} Reduce


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Answer:

So our answer is {{{y<=-31/4}}}  (which is approximately {{{y<=-7.75}}} in decimal form)