The value of y in the line segment is 4
RT is the total line segment.
Therefore,
RS = 3y + 3
ST = 2y + 8
RT = 31
Hence,
RT = RS + ST
31 = 3y + 3 + 2y + 8
31 = 3y + 2y + 3 + 8
31 = 5y + 11
31 - 11 = 5y
20 = 5y
divide both sides by 5
20 / 5 = 5y / 5
y = 4
learn more on line segment here: https://brainly.com/question/28433429
#SPJ1