( y + 6 ) 2 − 36 ( y + 6 ) 2 - 36 Substitute ( y + 6 ) 2 − 36 ( y + 6 ) 2 - 36 for y 2 + 12 y y 2 + 12 y in the equation ( x + 5 ) 2 + y 2 + 12 y = 3 ( x + 5 ) 2 + y 2 + 12 y = 3 . ( x + 5 ) 2 + ( y + 6 ) 2 − 36 = 3 ( x + 5 ) 2 + ( y + 6 ) 2 - 36 = 3 Move − 36 - 36 to the right side of the equation by adding 36 36 to both sides. ( x + 5 ) 2 + ( y + 6 ) 2 = 3 + 36 ( x + 5 ) 2 + ( y + 6 ) 2 = 3 + 36 Add 3 3 and 36 36 . ( x + 5 ) 2 + ( y + 6 ) 2 = 39 ( x + 5 ) 2 + ( y + 6 ) 2 = 39 This is the form of a circle. Use this form to determine the center and radius of the circle.