SOLUTION: please help solve using addition and multiplication principles: -5(6y-8)< -35y + 20

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Question 164434: please help solve using addition and multiplication principles:
-5(6y-8)< -35y + 20

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-5%286y-8%29%3C-35y%2B20 Start with the given inequality.


-30y%2B40%3C-35y%2B20 Distribute.


-30y%3C-35y%2B20-40 Subtract 40 from both sides.


-30y%2B35y%3C20-40 Add 35y to both sides.


5y%3C20-40 Combine like terms on the left side.


5y%3C-20 Combine like terms on the right side.


y%3C%28-20%29%2F%285%29 Divide both sides by 5 to isolate y.


y%3C-4 Reduce.


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Answer:

So the answer is y%3C-4