so first we solve and simplify
pemdas
first parenthasees
9-4(x-y)=-6x+6
distribute using distributeive property of multiplication which is a(b+c)=(ab)+(ac)
so -4(x-y)=-4x+4y
9-4x+4y=-6x+6
add 6x to both sides
9+2x+4y=6
subtract 9 from both sides
2x+4y=-3
only B matches this
B is the correct answer
(I don't know what standard form is but I know what simplified is)