document.write( "Question 620925: how would you solve this problem \r
\n" ); document.write( "\n" ); document.write( "1 = -3 + |2 - 1/4y|
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Algebra.Com's Answer #390506 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
First, I would add 3 to both sides of the equal sign to get a more convenient, equivalent equation:
\n" ); document.write( "\"1=-3%2Babs%282-%281%2F4%29y%29\" --> \"1%2B3=-3%2B3%2Babs%282-%281%2F4%29y%29\" --> \"4=abs%282-%281%2F4%29y%29\"
\n" ); document.write( "Then I would split the problem into two cases (two equations) and I would solve each equation, getting a total of two solutions.
\n" ); document.write( "If \"2-%281%2F4%29y%3E=0\", the equation is \"2-%281%2F4%29y=4\"
\n" ); document.write( "If \"2-%281%2F4%29y%3C0\", the equation is \"-%282-%281%2F4%29y%29=4\" or (multiplying both sides of the equal sign times (-1) ),
\n" ); document.write( "\"2-%281%2F4%29y=-4\"
\n" ); document.write( "To solve \"2-%281%2F4%29y=4\", I would first subtract 2 from both sides.
\n" ); document.write( "Then I would multiply both sides times (-4).
\n" ); document.write( "\"2-%281%2F4%29y=4\" -->\"2-2-%281%2F4%29y=4-2\" --> \"-%281%2F4%29y=2\" --> \"-4%2A%28-1%2F4%29y%29=%28-4%29%2A2\" --> \"y=-8\"
\n" ); document.write( "I would solve \"2-%281%2F4%29y=4\" the same way
\n" ); document.write( "\"2-%281%2F4%29y=-4\" -->\"2-2-%281%2F4%29y=-4-2\" --> \"-%281%2F4%29y=-6\" --> \"-4%2A%28-1%2F4%29y%29=%28-4%29%2A%28-6%29\" --> \"y=24\"
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