[tex] \dfrac{y-2}{6}+\dfrac{5-y}{4}=9\ \ \ \ |\cdot12\\\\12\cdot\dfrac{y-2}{6}+12\cdot\dfrac{5-y}{4}=12\cdot9\\\\2(y-2)+3(5-y)=108\ \ \ \ |\text{use distributive property}\\\\2y-4+15-3y=108\\\\(2y-3y)+(-4+15)=108\\\\-y+11=108\ \ \ |-11\\\\-y=97\to y=-97 [/tex]
