Question

-2(y+12)=y-9

Answer 1

1) y= -5

2) m = -1

3) k = 3

4) y = -5

Step-by-step explanation:

1) $-2(y+12)=y-9$

Solving:

$-2(y+12)=y-9\\-2y-24=y-9\\Combining\,\,like\,\,terms:\\-2y-y=-9+24\\-3y=15\\y=15/-3\\y=-5$

2) $8(-1+m)+3 = 2 [m-5 1/2]$

Solving:

$8(-1+m)+3 = 2 [m-5 \frac{1}{2} ]\\-8+8m+3=2 [m-\frac{11}{2} ]\\8m-5=2 [\frac{2m-11}{2} ]\\8m-5=2m-11\\Combining\,\,like\,\,terms:\\8m-2m=-11+5\\6m=-6\\m=-6/6\\m=-1$

3) $8(12-k)=3(k+21)$ (Note: Considering 8(12-k)=3(k+21) instead of 8(12-k)=3(k=k+21))

Solving:

$8(12-k)=3(k+21)\\96-8k=3k+63\\Combining\,\,like\,\,terms:\\-8k-3k=63-96\\-11k= -33\\k=-33/-11\\k=3$

4) $2y-3(2y-3)+2=31$

Solving:

$2y-3(2y-3)+2=31\\2y-6y+9+2=31\\Combining\,\,like\,\,terms:\\2y-6y=31-9-2\\-4y=20\\y= 20/-4\\y = -5$

Keywords: Solve for variables.

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