SOLUTION: can you show me how to work the following problem: 3/2y - y = 4 + 1/2y

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Question 13943: can you show me how to work the following problem:
3/2y - y = 4 + 1/2y
Answer by rahman(247) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F2y+-+y+=+4+%2B+1%2F2y ----->multiply with 2y
3+-+2y%5E2+=+8y+%2B+1
0=2y%5E2+%2B+8y+%2B+1-3
2y%5E2+%2B+8y+-2=0 ------------------>divide by 2
y%5E2+%2B+4y+-1=0
y%5E2+%2B+4y+=1
y%5E2+%2B+4y+%2B+4+=1%2B4
%28y%2B2%29%5E2=5
%28y%2B2%29=sqrt%285%29 or %28y%2B2%29=-sqrt%285%29
y=sqrt%285%29-2 or y=-sqrt%285%29-2
OK