document.write( "Question 173755: Add or Subtract \r
\n" ); document.write( "\n" ); document.write( "8y - 3/y + 7 - 4y - 1/y + 7\r
\n" ); document.write( "\n" ); document.write( "the answer I got was 4y - 2/y + 7
\n" ); document.write( "I believe something else can be done to that \n" ); document.write( "
Algebra.Com's Answer #128622 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
8y - 3/y + 7 - 4y - 1/y + 7
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"8y-%283%2Fy%29%2B7-4y-%281%2Fy%29%2B7\" simplifies to \"4%2Ay-4%2Fy%2B14\"
  • Text form: 8y-(3/y)+7-4y-(1/y)+7 simplifies to 4*y-4/y+14
  • Cartoon (animation) form: \"simplify_cartoon%28+8y-%283%2Fy%29%2B7-4y-%281%2Fy%29%2B7+%29\"
    For tutors: simplify_cartoon( 8y-(3/y)+7-4y-(1/y)+7 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"8%2Ay-highlight_red%28+%283%2Fy%29+%29%2B7-4%2Ay-%281%2Fy%29%2B7\".
Remove unneeded parentheses around terms \"highlight_red%28+-3%2Fy+%29\"
It becomes \"8%2Ay-highlight_green%28+3%2Fy+%29%2B7-4%2Ay-%281%2Fy%29%2B7\".
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Look at \"8%2Ay-3%2Fy%2B7-4%2Ay-highlight_red%28+%281%2Fy%29+%29%2B7\".
Remove unneeded parentheses around terms \"highlight_red%28+-1%2Fy+%29\"
It becomes \"8%2Ay-3%2Fy%2B7-4%2Ay-highlight_green%28+1%2Fy+%29%2B7\".
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Look at \"8%2Ay-3%2Fy%2Bhighlight_red%28+7+%29-4%2Ay-1%2Fy%2Bhighlight_red%28+7+%29\".
Added fractions or integers together
It becomes \"8%2Ay-3%2Fy%2Bhighlight_green%28+14+%29-4%2Ay-1%2Fy\".
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Look at \"8%2Ay-3%2Fy%2Bhighlight_red%28+14+%29-4%2Ay-1%2Fy\".
Moved \"14\" to the right of expression
It becomes \"8%2Ay-3%2Fy-4%2Ay-1%2Fy%2Bhighlight_green%28+14+%29\".
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Look at \"highlight_red%28+8%2Ay+%29-3%2Fy-highlight_red%28+4%2Ay+%29-1%2Fy%2B14\".
Eliminated similar terms \"highlight_red%28+8%2Ay+%29\",\"highlight_red%28+-4%2Ay+%29\" replacing them with \"highlight_green%28+%288-4%29%2Ay+%29\"
It becomes \"highlight_green%28+%288-4%29%2Ay+%29-3%2Fy-1%2Fy%2B14\".
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Look at \"%288-4%29%2Ay-highlight_red%28+3%2Fy+%29-highlight_red%28+1%2Fy+%29%2B14\".
Eliminated similar terms \"highlight_red%28+-3%2Fy+%29\",\"highlight_red%28+-1%2Fy+%29\" replacing them with \"highlight_green%28+%28-3-1%29%2Fy+%29\"
It becomes \"%288-4%29%2Ay%2Bhighlight_green%28+%28-3-1%29%2Fy+%29%2B14\".
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Look at \"%28highlight_red%28+8+%29-highlight_red%28+4+%29%29%2Ay%2B%28-3-1%29%2Fy%2B14\".
Added fractions or integers together
It becomes \"%28highlight_green%28+4+%29%29%2Ay%2B%28-3-1%29%2Fy%2B14\".
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Look at \"%284%29%2Ay%2B%28-highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Fy%2B14\".
Added fractions or integers together
It becomes \"%284%29%2Ay%2B%28highlight_green%28+-4+%29%29%2Fy%2B14\".
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Look at \"%284%29%2Ay%2B%28highlight_red%28+-4+%29%29%2Fy%2B14\".
Removed extra sign in front of \"-4\"
It becomes \"%284%29%2Ay%2B%28-highlight_green%28+4+%29%29%2Fy%2B14\".
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Look at \"highlight_red%28+%28highlight_red%28+4+%29%29%2Ay+%29%2B%28-4%29%2Fy%2B14\".
Remove unneeded parentheses around factor \"highlight_red%28+4+%29\"
It becomes \"highlight_green%28+4+%29%2Ay%2B%28-4%29%2Fy%2B14\".
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Look at \"4%2Ay%2Bhighlight_red%28+%28-highlight_red%28+4+%29%29%2Fy+%29%2B14\".
Remove unneeded parentheses around factor \"highlight_red%28+4+%29\"
It becomes \"4%2Ay-highlight_green%28+4+%29%2Fy%2B14\".
Result: \"4%2Ay-4%2Fy%2B14\"
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Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "
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