# SOLUTION: how do you simplify 3/8*(16x-8)+2/3*(15y+12)

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Question 6722: how do you simplify 3/8*(16x-8)+2/3*(15y+12)
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 Here's what you tried: Graphical form: simplifies to Text form: 3/8*(16x-8)+2/3*(15y+12) simplifies to 6*x+10*y+5Cartoon (animation) form: For tutors: `simplify_cartoon( 3/8*(16x-8)+2/3*(15y+12) )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
Expanded term by using associative property on
It becomes .

Look at .
Factors 16 and 8 have greatest common factor (GCF) of 8. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Factors 8 and 8 have greatest common factor (GCF) of 8. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Remove extraneous '1' from product
It becomes .

Look at .
Remove extraneous '1' from product
It becomes .

Look at .
Expanded term by using associative property on
It becomes .

Look at .
Factors 15 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Factors 12 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .