SOLUTION: PLease help me solve: -1/3 - 5/4y= 3/4 - 1/6y

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Question 107644This question is from textbook Intermediate Algebra
: PLease help me solve: -1/3 - 5/4y= 3/4 - 1/6y This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-1%2F3-%285%2F4%29y=3%2F4-%281%2F6%29y Start with the given equation



%2812%29%28-1%2F3-%285%2F4%29y%29=%2812%29%283%2F4-%281%2F6%29y%29 Multiply both sides by the LCM of 12. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



-4-15y=9-2y Distribute and multiply the LCM to each side



-15y=9-2y%2B4Add 4 to both sides


-15y%2B2y=9%2B4 Add 2y to both sides


-13y=9%2B4 Combine like terms on the left side


-13y=13 Combine like terms on the right side


y=%2813%29%2F%28-13%29 Divide both sides by -13 to isolate y



y=-1 Divide

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Answer:
So our answer is y=-1