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Combine like terms to create an equivalent expression. Enter coefficients as simplified proper or improper fractions or integers. -(1)/(2)(-3y+10)

Combine like terms to create an equivalent expression.\newlineEnter coefficients as simplified proper or improper fractions or integers.\newline−12(−3y+10)-\frac{1}{2}(-3y+10)

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Q. Combine like terms to create an equivalent expression.\newlineEnter coefficients as simplified proper or improper fractions or integers.\newline−12(−3y+10)-\frac{1}{2}(-3y+10)
  1. Distribute the negative one-half: Distribute the negative one-half across the parentheses.\newlineTo distribute the negative one-half, we multiply each term inside the parentheses by −(12)-\left(\frac{1}{2}\right).\newlineExpression: −(12)(−3y)+−(12)(10)-\left(\frac{1}{2}\right)(-3y) + -\left(\frac{1}{2}\right)(10)
  2. Multiply the coefficients: Multiply the coefficients.\newlineMultiply −(12)-\left(\frac{1}{2}\right) by −3y-3y to get (12)×3y\left(\frac{1}{2}\right) \times 3y, which simplifies to (32)y\left(\frac{3}{2}\right)y.\newlineMultiply −(12)-\left(\frac{1}{2}\right) by 1010 to get (12)×10\left(\frac{1}{2}\right) \times 10, which simplifies to −5-5.\newlineExpression: (32)y−5\left(\frac{3}{2}\right)y - 5
  3. Check for like terms: Check for like terms.\newlineIn the expression (32)y−5(\frac{3}{2})y - 5, there are no like terms to combine since one is a term with a variable and the other is a constant.

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