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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.\newline2(3y+6)−3(−4−y)2(3y+6)-3(-4-y)\newlineChoose 11 answer:\newline(A) 9y9y\newline(B) 5y+245y+24\newline(C) 9y−249y-24\newline(D) 9y+249y+24

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Q. Simplify to create an equivalent expression.\newline2(3y+6)−3(−4−y)2(3y+6)-3(-4-y)\newlineChoose 11 answer:\newline(A) 9y9y\newline(B) 5y+245y+24\newline(C) 9y−249y-24\newline(D) 9y+249y+24
  1. Distribute multiplication over addition: First, we need to distribute the multiplication over addition in both terms.\newlineFor the first term: 2(3y+6)=2⋅3y+2⋅6=6y+122(3y+6) = 2\cdot 3y + 2\cdot 6 = 6y + 12.\newlineFor the second term: −3(−4−y)=−3⋅(−4)−3⋅(−y)=12+3y-3(-4-y) = -3\cdot (-4) -3\cdot (-y) = 12 + 3y.
  2. Combine like terms: Now, we combine like terms from both expanded expressions.\newlineCombine the y terms: 6y+3y=9y6y + 3y = 9y.\newlineCombine the constant terms: 12+12=2412 + 12 = 24.\newlineSo, the expression becomes 9y+249y + 24.
  3. Simplify the expression: We have simplified the expression to 9y+249y + 24, which matches one of the given choices.

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