Simplify to create an equivalent expression. 2(3y+6)-3(-4-y) Choose 1 answer: (A) 9y (B) 5y+24 (C) 9y-24 (D) 9y+24

Distribute the terms: First, distribute the 2 into the terms inside the first parentheses (3y+6) and the -3 into the terms inside the second parentheses (-4-y). Calculation: 2 * 3y = 6y 2 * 6 = 12 -3 * -4 = 12 -3 * -y = 3yCombine the distribution results: Combine the results from the distribution to form a new expression. Calculation: 6y + 12 + 12 + 3yGroup like terms and combine constants: Group the like terms (6y and 3y) and combine the constant terms (12 and 12). Calculation: (6y + 3y) + (12 + 12)Add like terms and constants: Add the like terms and the constants. Calculation: 6y + 3y = 9y 12 + 12 = 24Write simplified expression: Write the simplified expression by combining the results from the previous step. Calculation: 9y + 24

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Simplify to create an equivalent expression.

2(3y+6)-3(-4-y)
Choose 1 answer:
(A)
9y
(B)
5y+24
(C)
9y-24
(D)
9y+24

Simplify to create an equivalent expression. $\newline$ $2(3y+6)-3(-4-y)$ $\newline$ Choose $1$ answer: $\newline$ (A) $9y$ $\newline$ (B) $5y+24$ $\newline$ (C) $9y-24$ $\newline$ (D) $9y+24$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Simplify to create an equivalent expression.

\newline

2(3y+6)-3(-4-y)

\newline

Choose

1

answer:

\newline

(A)

9y

\newline

(B)

5y+24

\newline

(C)

9y-24

\newline

(D)

9y+24

Distribute the terms: First, distribute the $2$ into the terms inside the first parentheses $(3y+6)$ and the $-3$ into the terms inside the second parentheses $(-4-y)$ . $\newline$ Calculation: $\newline$ $2 \times 3y = 6y$ $\newline$ $2 \times 6 = 12$ $\newline$ $-3 \times -4 = 12$ $\newline$ $-3 \times -y = 3y$
Combine the distribution results: Combine the results from the distribution to form a new expression. $\newline$ Calculation: $\newline$ $6y + 12 + 12 + 3y$
Group like terms and combine constants: Group the like terms $(6y + 3y)$ and combine the constant terms $(12 + 12)$ . $\newline$ Calculation: $\newline$ $(6y + 3y) + (12 + 12)$
Add like terms and constants: Add the like terms and the constants. $\newline$ Calculation: $\newline$ $6y + 3y = 9y$ $\newline$ $12 + 12 = 24$
Write simplified expression: Write the simplified expression by combining the results from the previous step. $\newline$ Calculation: $\newline$ $9y + 24$