SOLUTION: y/12+1/6=y/2-1/4

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Question 636894: y/12+1/6=y/2-1/4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y%2F12%2B1%2F6=y%2F2-1%2F4 Start with the given equation.


12%28y%2Fcross%2812%29%2B1%2Fcross%286%29%29=12%28y%2Fcross%282%29-1%2Fcross%284%29%29 Multiply both sides by the LCD 12 to clear any fractions.


y%2B2=6y-3 Distribute and multiply.


y=6y-3-2 Subtract 2 from both sides.


y-6y=-3-2 Subtract 6y from both sides.


-5y=-3-2 Combine like terms on the left side.


-5y=-5 Combine like terms on the right side.


y=%28-5%29%2F%28-5%29 Divide both sides by -5 to isolate y.


y=1 Reduce.


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Answer:

So the solution is y=1