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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.\newline2(38y)= 2(3-8 y)=

Full solution

Q. Distribute to create an equivalent expression with the fewest symbols possible.\newline2(38y)= 2(3-8 y)=
  1. Apply Distributive Property: Apply the distributive property to multiply 22 by each term inside the parentheses.\newlineThe distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. In this case, we have a=2a = 2, b=3b = 3, and c=8yc = -8y.\newlineSo, we will calculate 2×32 \times 3 and 2×8y2 \times -8y separately.
  2. Multiply 22 by 33: Multiply 22 by 33.\newline2×3=62 \times 3 = 6\newlineThis gives us the first term of the simplified expression.
  3. Multiply 22 by 8y -8y : Multiply 2 2 by 8y -8y .2×8y=16y 2 \times -8y = -16y This gives us the second term of the simplified expression.
  4. Combine Results: Combine the results from Step 22 and Step 33 to form the simplified expression.\newlineThe simplified expression is 616y6 - 16y.

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