Squaring both sides
9y2 – 78y + 169 = 4 (y + 1)(2y – 5)
9y2 – 78y + 169 = 4 (2y2 + 2y – 5y – 5)
9y2 – 78y + 169 = 8y2 + 8y – 20y – 20
9y2 – 78y + 169 – 8y2 + 12y + 20 = 0
y2 – 66y + 189 = 0
y2 – 63y – 3y + 189 = 0
y(y – 63) – 3(y – 63) = 0
(y – 63)(y – 3) = 0
y = 63, 3