Question 107644
{{{-1/3-(5/4)y=3/4-(1/6)y}}} Start with the given equation




{{{(12)(-1/3-(5/4)y)=(12)(3/4-(1/6)y)}}} 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 <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




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




{{{-15y=9-2y+4}}}Add 4 to both sides



{{{-15y+2y=9+4}}} Add 2y to both sides



{{{-13y=9+4}}} Combine like terms on the left side



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



{{{y=(13)/(-13)}}} Divide both sides by -13 to isolate y




{{{y=-1}}} Divide


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Answer:

So our answer is {{{y=-1}}}