Question 307245


{{{2(5y-6)>=5(3y+6)}}} Start with the given inequality.



{{{10y-12>=15y+30}}} Distribute.



{{{10y>=15y+30+12}}} Add {{{12}}} to both sides.



{{{10y-15y>=30+12}}} Subtract {{{15y}}} from both sides.



{{{-5y>=30+12}}} Combine like terms on the left side.



{{{-5y>=42}}} Combine like terms on the right side.



{{{y<=(42)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{y}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{y<=-42/5}}} Reduce.



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Answer:


So the solution is {{{y<=-42/5}}}