SOLUTION: how do you solve y-2=1/3(y+6)?

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Question 23436: how do you solve y-2=1/3(y+6)?
Found 2 solutions by stanbon, rapaljer:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y-2 = (1/3)y+2
(2/3)y=4
y = 4(3/2)= 6
Cheers,
Stan H>

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I would multiply both sides of the equation by the denominator which is 3. That clears the fractions and makes life a little easier!

y-2=%281%2F3%29%2A%28y%2B6%29
3%2A%28y-2%29+=%28y%2B6%29
3y+-6+=+y+%2B+6

Now, get all the y terms to the left side by adding -y to each side.
3y-y+-+6+=+y+%2B+6+-y
2y+-6+=+6

Add +6 to both sides:
2y+-6+%2B+6+=+6+%2B+6
2y+=+12
y+=+6

Check: Substituet y = 6 back into the original equation:
y-2=%281%2F3%29%2A%28y%2B6%29
6-2+=+%281%2F3%29%2A%286%2B6%29
4+=+%281%2F3%29%2A+12
4+=+4
It checks!!

R^2 at SCC