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Chapter 6: Problem 56

Simplify each algebraic expression. \(4(5 y-3)-(6 y+3)\)

Short Answer

Expert verified
The simplified expression of \(4(5 y-3)-(6 y+3)\) is \(14 y - 15\)

Step by step solution

01

Distribution

Distribute '4' in the first bracket and '1' (because of the negative sign) in the second bracket. This will lead us to: \(20 y - 12 - 6 y - 3\)
02

Combine Like Terms

Combine the 'y' terms together and the constant terms together: \(20 y - 6 y - 12 - 3\). When you subtract 6y from 20y it results in \(14 y\), and when you subtract 3 from -12 it results in \(-15\) . Hence, becoming \(14 y - 15\)

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