document.write( "Question 18931: How do i solve this equation?\r
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Algebra.Com's Answer #9090 by Alwayscheerful(414) $\"\"$ $\"About$

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=0.5.
Graphical form: Equation $\"10y=2y-6y%2B7\"$ was fully solved.
Text form: 10y=2y-6y+7 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+10y=2y-6y%2B7+%29\"$
For tutors: simplify_cartoon( 10y=2y-6y+7 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"10%2Ay=highlight_red%28+2%2Ay+%29-highlight_red%28+6%2Ay+%29%2B7\"$ .
Eliminated similar terms $\"highlight_red%28+2%2Ay+%29\"$ , $\"highlight_red%28+-6%2Ay+%29\"$ replacing them with $\"highlight_green%28+%282-6%29%2Ay+%29\"$
It becomes $\"10%2Ay=highlight_green%28+%282-6%29%2Ay+%29%2B7\"$ .
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Look at $\"10%2Ay=%28highlight_red%28+2+%29-highlight_red%28+6+%29%29%2Ay%2B7\"$ .
Added fractions or integers together
It becomes $\"10%2Ay=%28highlight_green%28+-4+%29%29%2Ay%2B7\"$ .
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Look at $\"10%2Ay=%28highlight_red%28+-4+%29%29%2Ay%2B7\"$ .
Removed extra sign in front of $\"-4\"$
It becomes $\"10%2Ay=%28-highlight_green%28+4+%29%29%2Ay%2B7\"$ .
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Look at $\"10%2Ay=highlight_red%28+%28-highlight_red%28+4+%29%29%2Ay+%29%2B7\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"10%2Ay=-highlight_green%28+4+%29%2Ay%2B7\"$ .
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Look at $\"10%2Ay=highlight_red%28+-4%2Ay%2B7+%29\"$ .
Moved these terms to the left $\"highlight_green%28+4%2Ay+%29\"$ , $\"highlight_green%28+-7+%29\"$
It becomes $\"10%2Ay%2Bhighlight_green%28+4%2Ay+%29-highlight_green%28+7+%29=0\"$ .
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Look at $\"highlight_red%28+10%2Ay+%29%2Bhighlight_red%28+4%2Ay+%29-7=0\"$ .
Eliminated similar terms $\"highlight_red%28+10%2Ay+%29\"$ , $\"highlight_red%28+4%2Ay+%29\"$ replacing them with $\"highlight_green%28+%2810%2B4%29%2Ay+%29\"$
It becomes $\"highlight_green%28+%2810%2B4%29%2Ay+%29-7=0\"$ .
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Look at $\"%28highlight_red%28+10+%29%2Bhighlight_red%28+4+%29%29%2Ay-7=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+14+%29%29%2Ay-7=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+14+%29%29%2Ay+%29-7=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+14+%29\"$
It becomes $\"highlight_green%28+14+%29%2Ay-7=0\"$ .
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Look at $\"highlight_red%28+14%2Ay-7+%29=0\"$ .
Solved linear equation $\"highlight_red%28+14%2Ay-7=0+%29\"$ equivalent to 14*y-7 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: y=0.5.

Universal Simplifier and Solver

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Done!

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