document.write( "Question 19974: can you please solve this equation 11(4-6y)+5(13y+1)=9 \n" ); document.write( "

Algebra.Com's Answer #9619 by ichudov(507) $\"\"$ $\"About$

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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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.

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DETAILED EXPLANATION

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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 $\"11%2A%28-6%2Ay%2Bhighlight_green%28+4+%29%29%2B5%2A%2813%2Ay%2B1%29=9\"$ .
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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 $\"11%2A%28-6%2Ay%2B4%29%2B5%2A%2813%2Ay%2B1%29-highlight_green%28+9+%29=0\"$ .
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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

.
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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 $\"-highlight_green%28+66+%29%2Ay%2B11%2A4%2B5%2A%2813%2Ay%2B1%29-9=0\"$ .
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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 $\"-66%2Ay%2Bhighlight_green%28+44+%29%2B5%2A%2813%2Ay%2B1%29-9=0\"$ .
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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 $\"-66%2Ay%2Bhighlight_green%28+35+%29%2B5%2A%2813%2Ay%2B1%29=0\"$ .
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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 $\"-66%2Ay%2B5%2A%2813%2Ay%2B1%29%2Bhighlight_green%28+35+%29=0\"$ .
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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 $\"-66%2Ay%2Bhighlight_green%28+5%2A13%2Ay+%29%2Bhighlight_green%28+5%2A1+%29%2B35=0\"$ .
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Look at $\"-66%2Ay%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+13+%29%2Ay%2B5%2A1%2B35=0\"$ .
Multiplied numerator integers
It becomes $\"-66%2Ay%2Bhighlight_green%28+65+%29%2Ay%2B5%2A1%2B35=0\"$ .
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Look at $\"-66%2Ay%2B65%2Ay%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+1+%29%2B35=0\"$ .
Multiplied numerator integers
It becomes $\"-66%2Ay%2B65%2Ay%2Bhighlight_green%28+5+%29%2B35=0\"$ .
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Look at $\"-66%2Ay%2B65%2Ay%2Bhighlight_red%28+5+%29%2Bhighlight_red%28+35+%29=0\"$ .
Added fractions or integers together
It becomes $\"-66%2Ay%2B65%2Ay%2Bhighlight_green%28+40+%29=0\"$ .
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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 $\"highlight_green%28+%28-66%2B65%29%2Ay+%29%2B40=0\"$ .
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Look at $\"%28-highlight_red%28+66+%29%2Bhighlight_red%28+65+%29%29%2Ay%2B40=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-1+%29%29%2Ay%2B40=0\"$ .
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Look at $\"%28highlight_red%28+-1+%29%29%2Ay%2B40=0\"$ .
Removed extra sign in front of $\"-1\"$
It becomes $\"%28-highlight_green%28+1+%29%29%2Ay%2B40=0\"$ .
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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 $\"-highlight_green%28+1+%29%2Ay%2B40=0\"$ .
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Look at $\"-highlight_red%28+1+%29%2Ay%2B40=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"-y%2B40=0\"$ .
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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: $\"0=0\"$
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Universal Simplifier and Solver

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Done!

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