.

Given:

⇒ 2 (– 14 y – 13) = 18[(4 y + 5) (2 y + 7)]

⇒ – 14 y – 13 = 9[8 y² + 28 y + 10 y + 35]

⇒ – 14 y – 13 = 72 y² + 252 y + 90 y + 315

⇒ 72 y² + 342 y + 315 + 14 y + 13 = 0

⇒ 9 y² + 32 y + 41 = 0

For this quadratic equation let us find the discriminant.

D = b² – 4 a c

Comparing by the equation obtained, a = 9, b = 32 and c = 41

Thus, Discriminant for the equation, D = 32² – 49 × 41

D = 1024 – 1476

D = – ve

Hence the equation will have negative roots.

So no real value of y can be obtained.