SOLUTION: 2(5y-6)≥5(3y+6)

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Question 307245: 2(5y-6)≥5(3y+6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%285y-6%29%3E=5%283y%2B6%29 Start with the given inequality.


10y-12%3E=15y%2B30 Distribute.


10y%3E=15y%2B30%2B12 Add 12 to both sides.


10y-15y%3E=30%2B12 Subtract 15y from both sides.


-5y%3E=30%2B12 Combine like terms on the left side.


-5y%3E=42 Combine like terms on the right side.


y%3C=%2842%29%2F%28-5%29 Divide both sides by -5 to isolate y. note: Remember, the inequality sign flips when we divide both sides by a negative number.


y%3C=-42%2F5 Reduce.


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Answer:

So the solution is y%3C=-42%2F5