SOLUTION: 1+5/y-1=7/6

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Question 159349: 1+5/y-1=7/6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2B5%2F%28y-1%29=7%2F6 Start with the given equation.


6%28y-1%29%2B6%2A5=7%28y-1%29 Multiply EVERY term by the LCD 6(y-1) to clear out the fractions.


6%28y-1%29%2B30=7%28y-1%29 Multiply


6y-6%2B30=7y-7 Distribute.


6y%2B24=7y-7 Combine like terms on the left side.


6y=7y-7-24 Subtract 24 from both sides.


6y-7y=-7-24 Subtract 7y from both sides.


-y=-7-24 Combine like terms on the left side.


-y=-31 Combine like terms on the right side.


y=%28-31%29%2F%28-1%29 Divide both sides by -1 to isolate y.


y=31 Reduce.


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Answer:

So the answer is y=31