Questions: Simplify to create an equivalent expression.
-y-3(-3y+5)
Transcript text: Simplify to create an equivalent expression.
\[
-y-3(-3 y+5)
\]
Solution
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:
\[
\boxed{8y - 15}
\]