1/2y + 6 + 3/2y = 2y - 6y -30 -------------------------------------------- Simplify each side 1/2y + 6 + 3/2y = 2y + -6y + -30 (Combine the like terms) (1/2y + 3/2y) + 6 = (2y + -6y) + (-30) 2y+6=-4y+-30 2y+6=-4y-30 -------------------------------------------- add 4y to each side 2y+6+4y=-4y-30+4y 6y+6=-30 ------------------------------------------------------------ Now subtract 6 from each side 6y+6-6=-30-6 6y=-36 --------------------------------------------------------------------------------- Finally, divide each side by 6 6y ÷ 6 = -36 ÷ 6 y = -6 ================================================================= Y = -6 is your answer