document.write( "Question 23436: how do you solve y-2=1/3(y+6)? \n" ); document.write( "
Algebra.Com's Answer #12210 by rapaljer(4671)\"\" \"About 
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!\r
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\n" ); document.write( "\n" ); document.write( " \"y-2=%281%2F3%29%2A%28y%2B6%29\"
\n" ); document.write( "\"3%2A%28y-2%29+=%28y%2B6%29\"
\n" ); document.write( "\"3y+-6+=+y+%2B+6\"\r
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\n" ); document.write( "\n" ); document.write( "Now, get all the y terms to the left side by adding -y to each side.
\n" ); document.write( "\"3y-y+-+6+=+y+%2B+6+-y\"
\n" ); document.write( "\"2y+-6+=+6\"\r
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\n" ); document.write( "\n" ); document.write( "Add +6 to both sides:
\n" ); document.write( "\"2y+-6+%2B+6+=+6+%2B+6\"
\n" ); document.write( "\"2y+=+12\"
\n" ); document.write( "\"y+=+6\"\r
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\n" ); document.write( "\n" ); document.write( "Check: Substituet y = 6 back into the original equation:
\n" ); document.write( "\"y-2=%281%2F3%29%2A%28y%2B6%29\"
\n" ); document.write( "\"6-2+=+%281%2F3%29%2A%286%2B6%29\"
\n" ); document.write( "\"4+=+%281%2F3%29%2A+12\"
\n" ); document.write( "\"4+=+4\"\r
\n" ); document.write( "\n" ); document.write( "It checks!!\r
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC
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