Problem 89
Question
Simplify each algebraic expression. $$7(3 y-5)+2(4 y+3)$$
Step-by-Step Solution
Verified Answer
The simplified form of the given algebraic expression is \(29y - 29\).
1Step 1: Distribute 7 and 2
Distribute the 7 across \(3y - 5\) and the 2 across \(4y + 3\). This will result in: \(21y - 35 + 8y + 6\)
2Step 2: Combine Like Terms
Next, combine the y-terms and the constants. Doing this results in: \(21y + 8y = 29y\) and \(-35 + 6 = -29\)
3Step 3: Write in Final Form
Then, create the final, simplified expression by combining your above results into \(29y - 29\)
Other exercises in this chapter
Problem 89
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Factor completely, or state that the polynomial is prime. $$12 x^{2} y-27 y-4 x^{2}+9$$
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Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two d
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