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Distribute to create an equivalent expression with the fewest symbols possible.

2(3-8y)=

Distribute to create an equivalent expression with the fewest symbols possible. $\newline$ $2(3-8 y)=$

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Negative Exponents

Full solution

Q. Distribute to create an equivalent expression with the fewest symbols possible.

\newline

2(3-8 y)=

Apply Distributive Property: Apply the distributive property to multiply $2$ by each term inside the parentheses. $\newline$ The distributive property states that $a(b + c) = ab + ac$ . In this case, we have $a = 2$ , $b = 3$ , and $c = -8y$ . $\newline$ So, we will calculate $2 \times 3$ and $2 \times -8y$ separately.
Multiply $2$ by $3$ : Multiply $2$ by $3$ . $\newline$ $2 \times 3 = 6$ $\newline$ This gives us the first term of the simplified expression.
Multiply $2$ by $-8y$ : Multiply $2$ by $-8y$ . $2 \times -8y = -16y$ This gives us the second term of the simplified expression.
Combine Results: Combine the results from Step $2$ and Step $3$ to form the simplified expression. $\newline$ The simplified expression is $6 - 16y$ .

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