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Chapter 6: Problem 54

Simplify each algebraic expression. \(4(2 y-6)+3(5 y+10)\)

Short Answer

Expert verified
The simplified form of the given expression is \(23y + 6\).

Step by step solution

01

Distribute the Coefficients

Distribute the 4 into the first set of parentheses: \(4*2y\) and \(4*(-6)\). This gives \(8y - 24\). Do the same for 3 and the second set of parentheses: \(3*5y\) and \(3*10\). This gives \(15y+30\).
02

Combine Like Terms

Combine the like terms. The 'like terms' are those that have the same variable part. In this case, combine \(8y\) and \(15y\) to get \(23y\), and combine \(-24\) and \(30\) to get \(6\).
03

Final Simplified Expression

By combining the results from steps 1 and 2, the final simplified expression is \(23y + 6\).

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Most popular questions from this chapter

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