document.write( "Question 932162: solve each equation.
\n" ); document.write( "2/y+ 5/2 = 4 - 2/3y \n" ); document.write( "
Algebra.Com's Answer #569480 by srinivas.g(540)\"\" \"About 
You can put this solution on YOUR website!
\"+2%2Fy++%2B5%2F2+=4+-2%2F%283y%29\"
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"%282%2Fy%29%2B%285%2F2%29=4-2%2F%283y%29\" simplifies to \"8%2F3%2Fy-3%2F2=0\"
  • Text form: (2/y)+(5/2)=4-2/(3y) simplifies to 8/3/y-3/2=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%282%2Fy%29%2B%285%2F2%29=4-2%2F%283y%29+%29\"
    For tutors: simplify_cartoon( (2/y)+(5/2)=4-2/(3y) )
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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 \"highlight_red%28+%282%2Fy%29+%29%2B%285%2F2%29=4-2%2F%283y%29\".
Remove unneeded parentheses around terms \"highlight_red%28+2%2Fy+%29\"
It becomes \"highlight_green%28+2%2Fy+%29%2B%285%2F2%29=4-2%2F%283y%29\".
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Look at \"2%2Fy%2Bhighlight_red%28+%285%2F2%29+%29=4-2%2F%283y%29\".
Remove unneeded parentheses around terms \"highlight_red%28+5%2F2+%29\"
It becomes \"2%2Fy%2Bhighlight_green%28+5%2F2+%29=4-2%2F%283y%29\".
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Look at \"2%2Fy%2B5%2F2=4-highlight_red%28+2%2F%28highlight_red%28+3%2Ay+%29%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2F3+%29\",\"highlight_red%28+1%2Fy+%29\"
It becomes \"2%2Fy%2B5%2F2=4-2%2Fhighlight_green%28+3+%29%2Fhighlight_green%28+y+%29\".
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Look at \"2%2Fy%2B5%2F2=highlight_red%28+4+%29-2%2F3%2Fy\".
Moved \"4\" to the right of expression
It becomes \"2%2Fy%2B5%2F2=-2%2F3%2Fy%2Bhighlight_green%28+4+%29\".
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Look at \"2%2Fy%2B5%2F2=highlight_red%28+-2%2F3%2Fy%2B4+%29\".
Moved these terms to the left \"highlight_green%28+2%2F3%2Fy+%29\",\"highlight_green%28+-4+%29\"
It becomes \"2%2Fy%2B5%2F2%2Bhighlight_green%28+2%2F3%2Fy+%29-highlight_green%28+4+%29=0\".
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Look at \"2%2Fy%2Bhighlight_red%28+5%2F2+%29%2B2%2F3%2Fy-highlight_red%28+4+%29=0\".
Added fractions or integers together
It becomes \"2%2Fy-highlight_green%28+3%2F2+%29%2B2%2F3%2Fy=0\".
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Look at \"2%2Fy-highlight_red%28+3%2F2+%29%2B2%2F3%2Fy=0\".
Moved \"-3%2F2\" to the right of expression
It becomes \"2%2Fy%2B2%2F3%2Fy-highlight_green%28+3%2F2+%29=0\".
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Look at \"highlight_red%28+2%2Fy+%29%2Bhighlight_red%28+2%2F3%2Fy+%29-3%2F2=0\".
Eliminated similar terms \"highlight_red%28+2%2Fy+%29\",\"highlight_red%28+2%2F3%2Fy+%29\" replacing them with \"highlight_green%28+%282%2B2%2A1%2F3%29%2Fy+%29\"
It becomes \"highlight_green%28+%282%2B2%2A1%2F3%29%2Fy+%29-3%2F2=0\".
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Look at \"%282%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2F3%29%2Fy-3%2F2=0\".
Multiplied numerator integers
It becomes \"%282%2Bhighlight_green%28+2+%29%2F3%29%2Fy-3%2F2=0\".
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Look at \"%28highlight_red%28+2+%29%2Bhighlight_red%28+2%2F3+%29%29%2Fy-3%2F2=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+8%2F3+%29%29%2Fy-3%2F2=0\".
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Look at \"highlight_red%28+%28highlight_red%28+8%2F3+%29%29%2Fy+%29-3%2F2=0\".
Remove unneeded parentheses around factor \"highlight_red%28+8+%29\",\"highlight_red%28+1%2F3+%29\"
It becomes \"highlight_green%28+8+%29%2Fhighlight_green%28+3+%29%2Fy-3%2F2=0\".
Result: \"8%2F3%2Fy-3%2F2=0\"
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Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "from the above
\n" ); document.write( " we got \"+%288%2F3y%29-+3%2F2++=0\"
\n" ); document.write( " move 3/2 to the right
\n" ); document.write( " \"+8%2F3y++=++3%2F2\"
\n" ); document.write( " multiply with 3y on both sides
\n" ); document.write( " \"++%288%2F3y+%29+%2A3y+=++%283%2F2%29%2A3y\"
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\n" ); document.write( " divide with 9 on both sides
\n" ); document.write( " \"+16%2F9+=+9y%2F9\"
\n" ); document.write( " 16/9 = y
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