SOLUTION: can you please solve this equation 11(4-6y)+5(13y+1)=9

Algebra ->  Equations -> SOLUTION: can you please solve this equation 11(4-6y)+5(13y+1)=9      Log On


   

Question 19974: can you please solve this equation 11(4-6y)+5(13y+1)=9
Answer by ichudov(507) 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


  • This is an equation! Solutions: y=40.
  • Graphical form: Equation 11%2A%284-6y%29%2B5%2A%2813y%2B1%29=9 was fully solved.
  • Text form: 11*(4-6y)+5*(13y+1)=9 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+11%2A%284-6y%29%2B5%2A%2813y%2B1%29=9+%29
    For tutors: simplify_cartoon( 11*(4-6y)+5*(13y+1)=9 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 11%2A%28highlight_red%28+4+%29-6%2Ay%29%2B5%2A%2813%2Ay%2B1%29=9.
Moved 4 to the right of expression
It becomes 11%2A%28-6%2Ay%2Bhighlight_green%28+4+%29%29%2B5%2A%2813%2Ay%2B1%29=9.
Look at 11%2A%28-6%2Ay%2B4%29%2B5%2A%2813%2Ay%2B1%29=highlight_red%28+9+%29.
Moved these terms to the left highlight_green%28+-9+%29
It becomes 11%2A%28-6%2Ay%2B4%29%2B5%2A%2813%2Ay%2B1%29-highlight_green%28+9+%29=0.
Look at highlight_red%28+11%2A%28-6%2Ay%2B4%29+%29%2B5%2A%2813%2Ay%2B1%29-9=0.
Expanded term 11 by using associative property on %28-6%2Ay%2B4%29
It becomes .
Look at -highlight_red%28+11+%29%2Ahighlight_red%28+6+%29%2Ay%2B11%2A4%2B5%2A%2813%2Ay%2B1%29-9=0.
Multiplied numerator integers
It becomes -highlight_green%28+66+%29%2Ay%2B11%2A4%2B5%2A%2813%2Ay%2B1%29-9=0.
Look at -66%2Ay%2Bhighlight_red%28+11+%29%2Ahighlight_red%28+4+%29%2B5%2A%2813%2Ay%2B1%29-9=0.
Multiplied numerator integers
It becomes -66%2Ay%2Bhighlight_green%28+44+%29%2B5%2A%2813%2Ay%2B1%29-9=0.
Look at -66%2Ay%2Bhighlight_red%28+44+%29%2B5%2A%2813%2Ay%2B1%29-highlight_red%28+9+%29=0.
Added fractions or integers together
It becomes -66%2Ay%2Bhighlight_green%28+35+%29%2B5%2A%2813%2Ay%2B1%29=0.
Look at -66%2Ay%2Bhighlight_red%28+35+%29%2B5%2A%2813%2Ay%2B1%29=0.
Moved 35 to the right of expression
It becomes -66%2Ay%2B5%2A%2813%2Ay%2B1%29%2Bhighlight_green%28+35+%29=0.
Look at -66%2Ay%2Bhighlight_red%28+5%2A%2813%2Ay%2B1%29+%29%2B35=0.
Expanded term 5 by using associative property on %2813%2Ay%2B1%29
It becomes -66%2Ay%2Bhighlight_green%28+5%2A13%2Ay+%29%2Bhighlight_green%28+5%2A1+%29%2B35=0.
Look at -66%2Ay%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+13+%29%2Ay%2B5%2A1%2B35=0.
Multiplied numerator integers
It becomes -66%2Ay%2Bhighlight_green%28+65+%29%2Ay%2B5%2A1%2B35=0.
Look at -66%2Ay%2B65%2Ay%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+1+%29%2B35=0.
Multiplied numerator integers
It becomes -66%2Ay%2B65%2Ay%2Bhighlight_green%28+5+%29%2B35=0.
Look at -66%2Ay%2B65%2Ay%2Bhighlight_red%28+5+%29%2Bhighlight_red%28+35+%29=0.
Added fractions or integers together
It becomes -66%2Ay%2B65%2Ay%2Bhighlight_green%28+40+%29=0.
Look at -highlight_red%28+66%2Ay+%29%2Bhighlight_red%28+65%2Ay+%29%2B40=0.
Eliminated similar terms highlight_red%28+-66%2Ay+%29,highlight_red%28+65%2Ay+%29 replacing them with highlight_green%28+%28-66%2B65%29%2Ay+%29
It becomes highlight_green%28+%28-66%2B65%29%2Ay+%29%2B40=0.
Look at %28-highlight_red%28+66+%29%2Bhighlight_red%28+65+%29%29%2Ay%2B40=0.
Added fractions or integers together
It becomes %28highlight_green%28+-1+%29%29%2Ay%2B40=0.
Look at %28highlight_red%28+-1+%29%29%2Ay%2B40=0.
Removed extra sign in front of -1
It becomes %28-highlight_green%28+1+%29%29%2Ay%2B40=0.
Look at highlight_red%28+%28-highlight_red%28+1+%29%29%2Ay+%29%2B40=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes -highlight_green%28+1+%29%2Ay%2B40=0.
Look at -highlight_red%28+1+%29%2Ay%2B40=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -y%2B40=0.
Look at highlight_red%28+-y%2B40+%29=0.
Solved linear equation highlight_red%28+-y%2B40=0+%29 equivalent to -y+40 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=40.

Universal Simplifier and Solver


Done!