Let f(y) = y^4 -3y^3 +y - 3 and g(y) = y^3 + 7y -2. Find f(y) + g(y). Write your answer as a polynomial with terms of decreasing degree.
y^4 - 3y^3 + y - 3
+ y^3 + 7y - 2
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y^4 - 2y^3 + 8y - 5