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Simplify to create an equivalent expression. -y-3(-3y+5) Choose 1 answer: (A) -8y-15 (B) 8y+5 (C) -8y-5 (D) 8y-15

Simplify to create an equivalent expression.\newline−y−3(−3y+5)-y-3(-3y+5)\newlineChoose 11 answer:\newline(A) −8y−15-8y-15\newline(B) 8y+58y+5\newline(C) −8y−5-8y-5\newline(D) 8y−158y-15

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Simplify variable expressions involving like terms and the distributive propertyright chevron icon

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Q. Simplify to create an equivalent expression.\newline−y−3(−3y+5)-y-3(-3y+5)\newlineChoose 11 answer:\newline(A) −8y−15-8y-15\newline(B) 8y+58y+5\newline(C) −8y−5-8y-5\newline(D) 8y−158y-15
  1. Distribute the −3-3: Distribute the −3-3 across the terms inside the parentheses.−y−3(−3y+5)amp;=−y−(3⋅−3y)−(3⋅5)&=−y+9y−15\begin{align*}-y - 3(-3y + 5) &= -y - (3 \cdot -3y) - (3 \cdot 5)\&= -y + 9y - 15\end{align*}
  2. Combine like terms: Combine like terms.\newline−y+9y−15-y + 9y - 15\newline=(9y−y)−15= (9y - y) - 15\newline=8y−15= 8y - 15

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