Lines and are cut by a transversal

MATHEMATICS · Subjective · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

p

and

q

are cut by a transversal. The interior angles on the same side of the transversal are

(3y + 10)^{\circ}

and

(5y - 22)^{\circ}

. For what value of

y

will lines

p

and

q

be parallel?