SOLUTION: 26-(16y+4)+(9y-x)

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Question 23912: 26-(16y+4)+(9y-x)
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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.

DETAILED EXPLANATION


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.

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.

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.

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.

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.

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.

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.

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

Universal Simplifier and Solver


Done!

Hope this helps!