[tex]\dfrac{b-4}{6}=\dfrac{b}{2}\ \ \ \ |cross multiply\\\\2(b-4)=6b\ \ \ |use\ distributive\ property:a(b-c)=ab-ac\\\\2b-8=6b\ \ \ \ |add\ 8\ to\ both\ sides\\\\2b=6b+8\ \ \ \ |subtract\ 6y\ from\ both\ sides\\\\-4b=8\ \ \ \ |divide\ both\ sides\ by\ (-4)\\\\\boxed{b=-2}[/tex]
