SOLUTION: Solve by clearing fractions 1/2y - 5 + 3/4y = 1/4 + 2y

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Question 125177: Solve by clearing fractions
1/2y - 5 + 3/4y = 1/4 + 2y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F2%29y-5%2B%283%2F4%29y=1%2F4%2B2y Start with the given equation



%284%29%28%281%2F2%29y-5%2B%283%2F4%29y%29=%284%29%281%2F4%2B2y%29 Multiply both sides by the LCM of 4. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



2y-20%2B3y=1%2B8y Distribute and multiply the LCM to each side



5y-20=1%2B8y Combine like terms on the left side


5y=1%2B8y%2B20Add 20 to both sides


5y-8y=1%2B20 Subtract 8y from both sides


-3y=1%2B20 Combine like terms on the left side


-3y=21 Combine like terms on the right side


y=%2821%29%2F%28-3%29 Divide both sides by -3 to isolate y



y=-7 Divide

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Answer:
So our answer is y=-7