SOLUTION: How do you solve: 2y/3-4=y/6-1 Thanks

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Question 266377: How do you solve:
2y/3-4=y/6-1
Thanks

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2y%2F3-4=y%2F6-1 Start with the given equation.


6%282y%2Fcross%283%29-4%29=6%28y%2Fcross%286%29-1%29 Multiply both sides by the LCD 6 to clear any fractions.


4y-24=y-6 Distribute and multiply.


4y=y-6%2B24 Add 24 to both sides.


4y-y=-6%2B24 Subtract y from both sides.


3y=-6%2B24 Combine like terms on the left side.


3y=18 Combine like terms on the right side.


y=%2818%29%2F%283%29 Divide both sides by 3 to isolate y.


y=6 Reduce.


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Answer:

So the solution is y=6