SOLUTION: Add or Subtract 8y - 3/y + 7 - 4y - 1/y + 7 the answer I got was 4y - 2/y + 7 I believe something else can be done to that

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Add or Subtract 8y - 3/y + 7 - 4y - 1/y + 7 the answer I got was 4y - 2/y + 7 I believe something else can be done to that      Log On


   

Question 173755: Add or Subtract
8y - 3/y + 7 - 4y - 1/y + 7
the answer I got was 4y - 2/y + 7
I believe something else can be done to that
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
8y - 3/y + 7 - 4y - 1/y + 7
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: 8y-%283%2Fy%29%2B7-4y-%281%2Fy%29%2B7 simplifies to 4%2Ay-4%2Fy%2B14
  • Text form: 8y-(3/y)+7-4y-(1/y)+7 simplifies to 4*y-4/y+14
  • Cartoon (animation) form: simplify_cartoon%28+8y-%283%2Fy%29%2B7-4y-%281%2Fy%29%2B7+%29
    For tutors: simplify_cartoon( 8y-(3/y)+7-4y-(1/y)+7 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 8%2Ay-highlight_red%28+%283%2Fy%29+%29%2B7-4%2Ay-%281%2Fy%29%2B7.
Remove unneeded parentheses around terms highlight_red%28+-3%2Fy+%29
It becomes 8%2Ay-highlight_green%28+3%2Fy+%29%2B7-4%2Ay-%281%2Fy%29%2B7.
Look at 8%2Ay-3%2Fy%2B7-4%2Ay-highlight_red%28+%281%2Fy%29+%29%2B7.
Remove unneeded parentheses around terms highlight_red%28+-1%2Fy+%29
It becomes 8%2Ay-3%2Fy%2B7-4%2Ay-highlight_green%28+1%2Fy+%29%2B7.
Look at 8%2Ay-3%2Fy%2Bhighlight_red%28+7+%29-4%2Ay-1%2Fy%2Bhighlight_red%28+7+%29.
Added fractions or integers together
It becomes 8%2Ay-3%2Fy%2Bhighlight_green%28+14+%29-4%2Ay-1%2Fy.
Look at 8%2Ay-3%2Fy%2Bhighlight_red%28+14+%29-4%2Ay-1%2Fy.
Moved 14 to the right of expression
It becomes 8%2Ay-3%2Fy-4%2Ay-1%2Fy%2Bhighlight_green%28+14+%29.
Look at highlight_red%28+8%2Ay+%29-3%2Fy-highlight_red%28+4%2Ay+%29-1%2Fy%2B14.
Eliminated similar terms highlight_red%28+8%2Ay+%29,highlight_red%28+-4%2Ay+%29 replacing them with highlight_green%28+%288-4%29%2Ay+%29
It becomes highlight_green%28+%288-4%29%2Ay+%29-3%2Fy-1%2Fy%2B14.
Look at %288-4%29%2Ay-highlight_red%28+3%2Fy+%29-highlight_red%28+1%2Fy+%29%2B14.
Eliminated similar terms highlight_red%28+-3%2Fy+%29,highlight_red%28+-1%2Fy+%29 replacing them with highlight_green%28+%28-3-1%29%2Fy+%29
It becomes %288-4%29%2Ay%2Bhighlight_green%28+%28-3-1%29%2Fy+%29%2B14.
Look at %28highlight_red%28+8+%29-highlight_red%28+4+%29%29%2Ay%2B%28-3-1%29%2Fy%2B14.
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Ay%2B%28-3-1%29%2Fy%2B14.
Look at %284%29%2Ay%2B%28-highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Fy%2B14.
Added fractions or integers together
It becomes %284%29%2Ay%2B%28highlight_green%28+-4+%29%29%2Fy%2B14.
Look at %284%29%2Ay%2B%28highlight_red%28+-4+%29%29%2Fy%2B14.
Removed extra sign in front of -4
It becomes %284%29%2Ay%2B%28-highlight_green%28+4+%29%29%2Fy%2B14.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Ay+%29%2B%28-4%29%2Fy%2B14.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Ay%2B%28-4%29%2Fy%2B14.
Look at 4%2Ay%2Bhighlight_red%28+%28-highlight_red%28+4+%29%29%2Fy+%29%2B14.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes 4%2Ay-highlight_green%28+4+%29%2Fy%2B14.
Result: 4%2Ay-4%2Fy%2B14

Universal Simplifier and Solver


Done!

Thank you,
Jojo