Question 657683

{{{18(y-3)-13(2y+5)>7y+8}}} Start with the given inequality.



{{{18y-54-26y-65>7y+8}}} Distribute.



{{{-8y-119>7y+8}}} Combine like terms on the left side.



{{{-8y>7y+8+119}}} Add {{{119}}} to both sides.



{{{-8y-7y>8+119}}} Subtract {{{7y}}} from both sides.



{{{-15y>8+119}}} Combine like terms on the left side.



{{{-15y>127}}} Combine like terms on the right side.



{{{y<(127)/(-15)}}} Divide both sides by {{{-15}}} to isolate {{{y}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{y<-127/15}}} Reduce.



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Answer:


So the solution is {{{y<-127/15}}} 



Which in decimal form is {{{y<-8.467}}} 


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