So firstly, you want to foil -7(y+6) and 3(5-y): [tex] -7y-42+33<15-3y [/tex]
Next, combine like terms: [tex] -7y-9<15-3y [/tex]
Next, add 7y on both sides: [tex] -9<15+4y [/tex]
Next, subtract 15 on both sides: [tex] -24<4y [/tex]
Lastly, divide both sides by 4, and your answer will be -6 < y
