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Chapter 0: Problem 89

Simplify each algebraic expression. $$7(3 y-5)+2(4 y+3)$$

Short Answer

Expert verified
The simplified form of the given algebraic expression is \(29y - 29\).

Step by step solution

01

Distribute 7 and 2

Distribute the 7 across \(3y - 5\) and the 2 across \(4y + 3\). This will result in: \(21y - 35 + 8y + 6\)
02

Combine Like Terms

Next, combine the y-terms and the constants. Doing this results in: \(21y + 8y = 29y\) and \(-35 + 6 = -29\)
03

Write in Final Form

Then, create the final, simplified expression by combining your above results into \(29y - 29\)

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