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To find the value of y for the solution to the system, we can solve the system of equations using either substitution or elimination method.
Let's use the elimination method:
Multiply the first equation by 3 and the second equation by -1 to eliminate the x term:
3(x+3y) = 3(15)
-1(3x+2y) = -1(10)
Simplifying, we get:
3x + 9y = 45
-3x - 2y = -10
Add the two equations together:
(3x + 9y) + (-3x - 2y) = 45 + (-10)
7y = 35
Divide both sides of the equation by 7:
y = 5
Therefore, the value of y for the solution to the system is 5.