Question 114020

{{{4-5(y-2)>=-2(-9+2y)}}} Start with the given inequality




{{{4-5y+10>=18-4y}}} Distribute



{{{-5y+14>=18-4y}}} Combine like terms on the left side



{{{-5y>=18-4y-14}}}Subtract 14 from both sides



{{{-5y+4y>=18-14}}} Add 4y to both sides



{{{-y>=18-14}}} Combine like terms on the left side



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



{{{y<=(4)/(-1)}}} Divide both sides by -1 to isolate y  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{y<=-4}}} Divide


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Answer:

So our answer is {{{y<=-4}}}