SOLUTION: {{{1/4*(13 y-3) + 1/8*(6y+9)}}}

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 Algebra: Expressions involving variables, substitution Solvers Lessons Answers archive Quiz In Depth

Question 212090:

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Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: Graphical form: simplifies to Text form: 1/4*(13y-3)+1/8*(6y+9) simplifies to 4*y+3/8Cartoon (animation) form: For tutors: simplify_cartoon( 1/4*(13y-3)+1/8*(6y+9) ) If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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

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Remove extraneous '1' from product
It becomes .

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Expanded term by using associative property on
It becomes .

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Multiplied numerator integers
It becomes .

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Multiplied numerator integers
It becomes .

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Moved to the right of expression
It becomes .

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Expanded term by using associative property on
It becomes .

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Factors 6 and 8 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .

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Multiplied numerator integers
It becomes .

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Multiplied numerator integers
It becomes .

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It becomes .

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Eliminated similar terms , replacing them with
It becomes .

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Multiplied numerator integers
It becomes .

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Multiplied numerator integers
It becomes .

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It becomes .

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Remove unneeded parentheses around factor ,
It becomes .

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Factors 16 and 4 have greatest common factor (GCF) of 4. Reducing fraction.
It becomes .

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

Done!