SOLUTION: Please help: Solve for y and answer 2/3(y+2) - 5/6(y-1) = 5/4(y-3) - 4

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Question 124188: Please help:
Solve for y and answer
2/3(y+2) - 5/6(y-1) = 5/4(y-3) - 4

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F3%29%28y%2B2%29++-++%285%2F6%29%28y-1%29+=+%285%2F4%29%28y-3%29+-+4.....multiply both sides by 12
%282%2F3%2912%28y%2B2%29++-++%285%2F6%2912%28y-1%29+=+%285%2F4%2912%28y-3%29+-+4%2A12.....
.....
2%2A4%28y%2B2%29++-++5%2A2%28y-1%29+=+5%2A3%28y-3%29+-+4%2A12.....

8%28y%2B2%29++-++10%28y-1%29+=+15%28y-3%29+-+48.....
8y+%2B+16++-+10y+%2B+10+=+15y+-+45+-+48.....
8y+-+10y+-+15y+=+-+45+-+10+-16+-+48.....
-+17y+=+-+119.....
y+=+-+119%2F-17.....
y+=+7.....

check
%282%2F3%29%287%2B2%29++-++%285%2F6%29%287-1%29+=+%285%2F4%29%287-3%29+-+4.....
.....
2%2A3++-++5%2A1+=+5%2A1+-+4.....
6++-++5+=+5+-+4.....
1+=+1.....