Find x, y, z, if 2(x,-1,4)-3(-4,y,6)-0.5(4,-2,z)=(0,0,0)

Ok, I think I did this question correct, but the back of the says no.. I am guessing that the back of the book is wrong.. Can someone just verify? Thanks

2x-2+4=0

x=-3

12-3y-18=0

y=-2

-2+1-0.5z=0

z=2

is this ok?