simplify.\n12(y - 2) + 3(7 - 3y)\nneed help? read it watch it master it\nsubmit answer\n27. - / 1 points…

simplify.\n12(y - 2) + 3(7 - 3y)\nneed help? read it watch it master it\nsubmit answer\n27. - / 1 points 0/12 submissions used\nsimplify.\n-98x + 3(8 - x)\nneed help? read it watch it\nsubmit answer\n28. - / 1 points 0/12 submissions used\nsimplify.\n-54x - (x + 4)

simplify.\n12(y - 2) + 3(7 - 3y)\nneed help? read it watch it master it\nsubmit answer\n27. - / 1 points 0/12 submissions used\nsimplify.\n-98x + 3(8 - x)\nneed help? read it watch it\nsubmit answer\n28. - / 1 points 0/12 submissions used\nsimplify.\n-54x - (x + 4)

Answer

Explanation:

Step1: Expand the expressions using distributive property

For (12(y - 2)+3(7 - 3y)): [ \begin{align*} 12(y - 2)+3(7 - 3y)&=12y-24 + 21-9y\ \end{align*} ] For (-9[8x + 3(8 - x)]): [ \begin{align*} -9[8x + 3(8 - x)]&=-9(8x+24 - 3x)\ &=-9(5x + 24) \end{align*} ] For (-5[4x-(x + 4)]): [ \begin{align*} -5[4x-(x + 4)]&=-5(4x-x - 4)\ &=-5(3x - 4) \end{align*} ]

Step2: Combine like - terms

For (12y-24 + 21-9y): [ \begin{align*} 12y-9y-24 + 21&=(12 - 9)y+(-24 + 21)\ &=3y-3 \end{align*} ] For (-9(5x + 24)): [ \begin{align*} -9(5x + 24)&=-9\times5x-9\times24\ &=-45x-216 \end{align*} ] For (-5(3x - 4)): [ \begin{align*} -5(3x - 4)&=-5\times3x-5\times(-4)\ &=-15x + 20 \end{align*} ]

Answer:

  1. (3y-3)
  2. (-45x-216)
  3. (-15x + 20)