document.write( "Question 637856: how do i do this math problem ?\r
\n" ); document.write( "\n" ); document.write( "3(y+5)=8y \n" ); document.write( "
Algebra.Com's Answer #401916 by reviewermath(1029)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: y=3.
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  • Graphical form: Equation \"3%2A%28y%2B5%29=8y\" was fully solved.
  • Text form: 3*(y+5)=8y simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+3%2A%28y%2B5%29=8y+%29\"
    For tutors: simplify_cartoon( 3*(y+5)=8y )
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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 \"3%2A%28y%2B5%29=highlight_red%28+8%2Ay+%29\".
Moved these terms to the left \"highlight_green%28+-8%2Ay+%29\"
It becomes \"3%2A%28y%2B5%29-highlight_green%28+8%2Ay+%29=0\".
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Look at \"highlight_red%28+3%2A%28y%2B5%29+%29-8%2Ay=0\".
Expanded term \"3\" by using associative property on \"%28y%2B5%29\"
It becomes \"highlight_green%28+3%2Ay+%29%2Bhighlight_green%28+3%2A5+%29-8%2Ay=0\".
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Look at \"3%2Ay%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+5+%29-8%2Ay=0\".
Multiplied numerator integers
It becomes \"3%2Ay%2Bhighlight_green%28+15+%29-8%2Ay=0\".
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Look at \"3%2Ay%2Bhighlight_red%28+15+%29-8%2Ay=0\".
Moved \"15\" to the right of expression
It becomes \"3%2Ay-8%2Ay%2Bhighlight_green%28+15+%29=0\".
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Look at \"highlight_red%28+3%2Ay+%29-highlight_red%28+8%2Ay+%29%2B15=0\".
Eliminated similar terms \"highlight_red%28+3%2Ay+%29\",\"highlight_red%28+-8%2Ay+%29\" replacing them with \"highlight_green%28+%283-8%29%2Ay+%29\"
It becomes \"highlight_green%28+%283-8%29%2Ay+%29%2B15=0\".
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Look at \"%28highlight_red%28+3+%29-highlight_red%28+8+%29%29%2Ay%2B15=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-5+%29%29%2Ay%2B15=0\".
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Look at \"%28highlight_red%28+-5+%29%29%2Ay%2B15=0\".
Removed extra sign in front of \"-5\"
It becomes \"%28-highlight_green%28+5+%29%29%2Ay%2B15=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+5+%29%29%2Ay+%29%2B15=0\".
Remove unneeded parentheses around factor \"highlight_red%28+5+%29\"
It becomes \"-highlight_green%28+5+%29%2Ay%2B15=0\".
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Look at \"highlight_red%28+-5%2Ay%2B15+%29=0\".
Solved linear equation \"highlight_red%28+-5%2Ay%2B15=0+%29\" equivalent to -5*y+15 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
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Universal Simplifier and Solver

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Done!
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