Questions: Simplify to create an equivalent expression. -y-3(-3y+5)

Simplify to create an equivalent expression.
-y-3(-3y+5)
Transcript text: Simplify to create an equivalent expression. \[ -y-3(-3 y+5) \]
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Solution

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Solution Steps

To simplify the given expression, we need to distribute the -3 across the terms inside the parentheses and then combine like terms. This involves multiplying -3 by each term inside the parentheses and then adding the results to the -y term.

Step 1: Distribute the Terms

We start with the expression: \[ -y - 3(-3y + 5) \] We distribute \(-3\) across the terms inside the parentheses: \[ -y + 9y - 15 \]

Step 2: Combine Like Terms

Next, we combine the like terms \(-y\) and \(9y\): \[ (-1y + 9y) - 15 = 8y - 15 \]

Final Answer

The simplified expression is: \[ \boxed{8y - 15} \]

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