Question 208191


{{{2y-9>5y+12}}} Start with the given inequality.



{{{2y>5y+12+9}}} Add {{{9}}} to both sides.



{{{2y-5y>12+9}}} Subtract {{{5y}}} from both sides.



{{{-3y>12+9}}} Combine like terms on the left side.



{{{-3y>21}}} Combine like terms on the right side.



{{{y<(21)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{y}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{y<-7}}} Reduce.



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Answer:


So the solution is {{{y<-7}}}