Express \[\frac{17y+2}{5}-\frac{5-3y}{3}\] as a single fraction.
(17y+2) / 5 - (5-3y)/3 "cross" multiply
(17y+2)(3)/(5*3) - (5-3y)(5)/(5*3)
= (51y+6 -25+15y)/15
= (66y - 19)/15