Question 188951


{{{4+2(3-2y)<=6y-20}}} Start with the given inequality.



{{{4+6-4y<=6y-20}}} Distribute.



{{{-4y+10<=6y-20}}} Combine like terms on the left side.



{{{-4y<=6y-20-10}}} Subtract {{{10}}} from both sides.



{{{-4y-6y<=-20-10}}} Subtract {{{6y}}} from both sides.



{{{-10y<=-20-10}}} Combine like terms on the left side.



{{{-10y<=-30}}} Combine like terms on the right side.



{{{y>=(-30)/(-10)}}} Divide both sides by {{{-10}}} to isolate {{{y}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{y>=3}}} Reduce.



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Answer:


So the answer is {{{y>=3}}}