SOLUTION: Can you please help me with this problem? 9y -18/6y +12 * 3y + 6/15y -30 Thank you so much

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Question 257839: Can you please help me with this problem?
9y -18/6y +12 * 3y + 6/15y -30
Thank you so much
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
[(9y -18)/(6y +12)]
--------------------
[(9(y -2))/(6(y +2)]
-----------
Cancel any factors that are common to a numerator and a denominator:
[(9)/(6)]
---
=(3/2)*(1/5)
= 3/10
========
Cheers,
stan H.

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

%28%289y-18%29%2F%286y%2B12%29%29%28%283y%2B6%29%2F%2815y-30%29%29 Start with the given expression.


%28%289%28y-2%29%29%2F%286y%2B12%29%29%28%283y%2B6%29%2F%2815y-30%29%29 Factor 9y-18 to get 9%28y-2%29.


%28%289%28y-2%29%29%2F%286%28y%2B2%29%29%29%28%283y%2B6%29%2F%2815y-30%29%29 Factor 6y%2B12 to get 6%28y%2B2%29.


%28%289%28y-2%29%29%2F%286%28y%2B2%29%29%29%28%283%28y%2B2%29%29%2F%2815y-30%29%29 Factor 3y%2B6 to get 3%28y%2B2%29.


%28%289%28y-2%29%29%2F%286%28y%2B2%29%29%29%28%283%28y%2B2%29%29%2F%2815%28y-2%29%29%29 Factor 15y-30 to get 15%28y-2%29.


%289%2A3%28y-2%29%28y%2B2%29%29%2F%286%2A15%28y%2B2%29%28y-2%29%29 Combine the fractions.


%2827%28y-2%29%28y%2B2%29%29%2F%2890%28y%2B2%29%28y-2%29%29 Multiply


Highlight the common terms.


Cancel out the common terms.


27%2F90 Simplify.


3%2F10 Reduce.


So %28%289y-18%29%2F%286y%2B12%29%29%28%283y%2B6%29%2F%2815y-30%29%29 simplifies to 3%2F10.


In other words, %28%289y-18%29%2F%286y%2B12%29%29%28%283y%2B6%29%2F%2815y-30%29%29=3%2F10