document.write( "Question 23912: 26-(16y+4)+(9y-x) \n" ); document.write( "

Algebra.Com's Answer #12633 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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Graphical form: $\"26-%2816y%2B4%29%2B%289y-x%29\"$ simplifies to $\"-7%2Ay-x%2B22\"$
Text form: 26-(16y+4)+(9y-x) simplifies to -7*y-x+22
Cartoon (animation) form: $\"simplify_cartoon%28+26-%2816y%2B4%29%2B%289y-x%29+%29\"$
For tutors: simplify_cartoon( 26-(16y+4)+(9y-x) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"26-highlight_red%28+%2816%2Ay%2B4%29+%29%2B%289%2Ay-x%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+-16%2Ay+%29\"$ , $\"highlight_red%28+-4+%29\"$
It becomes $\"26-highlight_green%28+16%2Ay+%29-highlight_green%28+4+%29%2B%289%2Ay-x%29\"$ .
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Look at $\"26-16%2Ay-4%2Bhighlight_red%28+%289%2Ay-x%29+%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+9%2Ay+%29\"$ , $\"highlight_red%28+-x+%29\"$
It becomes $\"26-16%2Ay-4%2Bhighlight_green%28+9%2Ay+%29-highlight_green%28+x+%29\"$ .
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Look at $\"highlight_red%28+26+%29-16%2Ay-highlight_red%28+4+%29%2B9%2Ay-x\"$ .
Added fractions or integers together
It becomes $\"highlight_green%28+22+%29-16%2Ay%2B9%2Ay-x\"$ .
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Look at $\"highlight_red%28+22+%29-16%2Ay%2B9%2Ay-x\"$ .
Moved $\"22\"$ to the right of expression
It becomes $\"-16%2Ay%2B9%2Ay-x%2Bhighlight_green%28+22+%29\"$ .
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Look at $\"-highlight_red%28+16%2Ay+%29%2Bhighlight_red%28+9%2Ay+%29-x%2B22\"$ .
Eliminated similar terms $\"highlight_red%28+-16%2Ay+%29\"$ , $\"highlight_red%28+9%2Ay+%29\"$ replacing them with $\"highlight_green%28+%28-16%2B9%29%2Ay+%29\"$
It becomes $\"highlight_green%28+%28-16%2B9%29%2Ay+%29-x%2B22\"$ .
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Look at $\"%28-highlight_red%28+16+%29%2Bhighlight_red%28+9+%29%29%2Ay-x%2B22\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-7+%29%29%2Ay-x%2B22\"$ .
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Look at $\"%28highlight_red%28+-7+%29%29%2Ay-x%2B22\"$ .
Removed extra sign in front of $\"-7\"$
It becomes $\"%28-highlight_green%28+7+%29%29%2Ay-x%2B22\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+7+%29%29%2Ay+%29-x%2B22\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+7+%29\"$
It becomes $\"-highlight_green%28+7+%29%2Ay-x%2B22\"$ .
Result: $\"-7%2Ay-x%2B22\"$
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Universal Simplifier and Solver

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Done!

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