SOLUTION: 4 - 5(y - 2) > or equal to -2(-9 + 2y)

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Question 114020: 4 - 5(y - 2) > or equal to -2(-9 + 2y)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4-5%28y-2%29%3E=-2%28-9%2B2y%29 Start with the given inequality



4-5y%2B10%3E=18-4y Distribute


-5y%2B14%3E=18-4y Combine like terms on the left side


-5y%3E=18-4y-14Subtract 14 from both sides


-5y%2B4y%3E=18-14 Add 4y to both sides


-y%3E=18-14 Combine like terms on the left side


-y%3E=4 Combine like terms on the right side


y%3C=%284%29%2F%28-1%29 Divide both sides by -1 to isolate y (note: Remember, dividing both sides by a negative number flips the inequality sign)



y%3C=-4 Divide

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Answer:
So our answer is y%3C=-4