SOLUTION: 3/4y-6=1/4y+10

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Question 690286: 3/4y-6=1/4y+10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F4%29y-6=%281%2F4%29y%2B10 Start with the given equation.


4%28%283%2Fcross%284%29%29y-6%29=4%28%281%2Fcross%284%29%29y%2B10%29 Multiply both sides by the LCD 4 to clear any fractions.


3y-24=y%2B40 Distribute and multiply.


3y=y%2B40%2B24 Add 24 to both sides.


3y-y=40%2B24 Subtract y from both sides.


2y=40%2B24 Combine like terms on the left side.


2y=64 Combine like terms on the right side.


y=%2864%29%2F%282%29 Divide both sides by 2 to isolate y.


y=32 Reduce.


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Answer:

So the solution is y=32