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Apply the distributive property to create an equivalent expression.

(3-8y)*(-2.5)=

Apply the distributive property to create an equivalent expression.\newline(38y)(2.5)= (3-8 y) \cdot(-2.5)=

Full solution

Q. Apply the distributive property to create an equivalent expression.\newline(38y)(2.5)= (3-8 y) \cdot(-2.5)=
  1. Understand distributive property: Understand the distributive property. The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. In this case, we will distribute 2.5-2.5 to both 33 and 8y-8y.
  2. Apply to first term: Apply the distributive property to the first term.\newlineMultiply 2.5-2.5 by 33.\newline2.5×3=7.5-2.5 \times 3 = -7.5
  3. Apply to second term: Apply the distributive property to the second term.\newlineMultiply 2.5-2.5 by 8y-8y.\newline2.5×8y=20y-2.5 \times -8y = 20y
  4. Combine results: Combine the results from Step 22 and Step 33.\newlineThe equivalent expression is 7.5+20y-7.5 + 20y.