document.write( "Question 187087: 5/y+2 - 3/y-2 = 4/y^2-4 \n" ); document.write( "
Algebra.Com's Answer #140232 by jim_thompson5910(35256)\"\" \"About 
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\"5%2F%28y%2B2%29++-+3%2F%28y-2%29++=+4%2F%28y%5E2-4%29\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"5%2F%28y%2B2%29++-+3%2F%28y-2%29++=+4%2F%28%28y%2B2%29%28y-2%29%29\" Factor \"y%5E2-4\" to get \"%28y%2B2%29%28y-2%29\"\r
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\n" ); document.write( "\n" ); document.write( " Multiply EVERY term by the LCD \"%28y%2B2%29%28y-2%29\" to clear the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"%28y-2%295-%28y%2B2%293=4\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"5%28y-2%29-3%28y%2B2%29=4\" Rearrange the terms.\r
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\n" ); document.write( "\n" ); document.write( "\"5y-10-3y-6=4\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"2y-16=4\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"2y=4%2B16\" Add \"16\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"2y=20\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"y=%2820%29%2F%282%29\" Divide both sides by \"2\" to isolate \"y\".\r
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\n" ); document.write( "\n" ); document.write( "\"y=10\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the answer is \"y=10\"
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