Express y in terms of x
Your answer is $$\frac{22x-7}{20x-10}$$
And the books "correct" answer is $$\frac{7-22x}{10-20x}$$
Yes? Notice what happens when you multiply both the numerator and denominator in your answer by $-1$? You're very welcome.
You got the correct answer. Just multiply both numerator and denominator by -1
$$\frac{22x-7}{20x-10} = \frac{-1}{-1} \times \frac{7-22x}{10-20x}$$