SOLUTION: 3y - 2 ( y - 1 ) = -1 6

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Question 216699: 3y - 2 ( y - 1 ) = -1
6

Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe I misunderstand your question, but I think you are asking
%283y+-+2+%28+y+-+1+%29%29%2F6+=+-1+
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: y=-8.
  • Graphical form: Equation %283y-2%2A%28y-1%29%29%2F6=-1 was fully solved.
  • Text form: (3y-2*(y-1))/6=-1 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%283y-2%2A%28y-1%29%29%2F6=-1+%29
    For tutors: simplify_cartoon( (3y-2*(y-1))/6=-1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %283%2Ay-2%2A%28y-1%29%29%2F6=highlight_red%28+-1+%29.
Moved these terms to the left highlight_green%28+1+%29
It becomes %283%2Ay-2%2A%28y-1%29%29%2F6%2Bhighlight_green%28+1+%29=0.
Look at highlight_red%28+%283%2Ay-2%2A%28y-1%29%29%2F6+%29%2B1=0.
Expanded term 1%2F6 by using associative property on %283%2Ay-2%2A%28y-1%29%29
It becomes highlight_green%28+1%2F6%2A3%2Ay+%29-highlight_green%28+1%2F6%2A2%2A%28y-1%29+%29%2B1=0.
Look at 1%2Fhighlight_red%28+6+%29%2Ahighlight_red%28+3+%29%2Ay-1%2F6%2A2%2A%28y-1%29%2B1=0.
Factors 3 and 6 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes 1%2Fhighlight_green%28+2+%29%2Ahighlight_green%28+1+%29%2Ay-1%2F6%2A2%2A%28y-1%29%2B1=0.
Look at highlight_red%28+1+%29%2F2%2Ahighlight_red%28+1+%29%2Ay-1%2F6%2A2%2A%28y-1%29%2B1=0.
Multiplied numerator integers
It becomes highlight_green%28+1+%29%2F2%2Ay-1%2F6%2A2%2A%28y-1%29%2B1=0.
Look at 1%2F2%2Ay-1%2Fhighlight_red%28+6+%29%2Ahighlight_red%28+2+%29%2A%28y-1%29%2B1=0.
Factors 2 and 6 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 1%2F2%2Ay-1%2Fhighlight_green%28+3+%29%2Ahighlight_green%28+1+%29%2A%28y-1%29%2B1=0.
Look at 1%2F2%2Ay-highlight_red%28+1+%29%2F3%2Ahighlight_red%28+1+%29%2A%28y-1%29%2B1=0.
Multiplied numerator integers
It becomes 1%2F2%2Ay-highlight_green%28+1+%29%2F3%2A%28y-1%29%2B1=0.
Look at highlight_red%28+1+%29%2F2%2Ay-1%2F3%2A%28y-1%29%2B1=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes y%2F2-1%2F3%2A%28y-1%29%2B1=0.
Look at y%2F2-highlight_red%28+1+%29%2F3%2A%28y-1%29%2B1=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes y%2F2-%28y-1%29%2F3%2B1=0.
Look at y%2F2-highlight_red%28+%28y-1%29%2F3+%29%2B1=0.
Expanded term -1%2F3 by using associative property on %28y-1%29
It becomes y%2F2-highlight_green%28+1%2F3%2Ay+%29%2Bhighlight_green%28+1%2F3%2A1+%29%2B1=0.
Look at y%2F2-highlight_red%28+1+%29%2F3%2Ay%2B1%2F3%2A1%2B1=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes y%2F2-y%2F3%2B1%2F3%2A1%2B1=0.
Look at y%2F2-y%2F3%2Bhighlight_red%28+1+%29%2F3%2Ahighlight_red%28+1+%29%2B1=0.
Multiplied numerator integers
It becomes y%2F2-y%2F3%2Bhighlight_green%28+1+%29%2F3%2B1=0.
Look at y%2F2-y%2F3%2Bhighlight_red%28+1%2F3+%29%2Bhighlight_red%28+1+%29=0.
Added fractions or integers together
It becomes y%2F2-y%2F3%2Bhighlight_green%28+4%2F3+%29=0.
Look at highlight_red%28+y%2F2+%29-highlight_red%28+y%2F3+%29%2B4%2F3=0.
Eliminated similar terms highlight_red%28+y%2F2+%29,highlight_red%28+-y%2F3+%29 replacing them with highlight_green%28+%281%2F2-1%2F3%29%2Ay+%29
It becomes highlight_green%28+%281%2F2-1%2F3%29%2Ay+%29%2B4%2F3=0.
Look at %28highlight_red%28+1%2F2+%29-highlight_red%28+1%2F3+%29%29%2Ay%2B4%2F3=0.
Added fractions or integers together
It becomes %28highlight_green%28+1%2F6+%29%29%2Ay%2B4%2F3=0.
Look at highlight_red%28+%28highlight_red%28+1%2F6+%29%29%2Ay+%29%2B4%2F3=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F6+%29
It becomes highlight_green%28+1+%29%2Fhighlight_green%28+6+%29%2Ay%2B4%2F3=0.
Look at highlight_red%28+1+%29%2F6%2Ay%2B4%2F3=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes y%2F6%2B4%2F3=0.
Look at highlight_red%28+y%2F6%2B4%2F3+%29=0.
Solved linear equation highlight_red%28+y%2F6%2B4%2F3=0+%29 equivalent to 0.166666666666667*y+1.33333333333333 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=-8.

Universal Simplifier and Solver


Done!