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y=3x^{5}+7x^{3}+2x+h
Use the distributive property to multiply 3x^{2}+1 by x^{3}+2x and combine like terms.
3x^{5}+7x^{3}+2x+h=y
Swap sides so that all variable terms are on the left hand side.
7x^{3}+2x+h=y-3x^{5}
Subtract 3x^{5} from both sides.
2x+h=y-3x^{5}-7x^{3}
Subtract 7x^{3} from both sides.
h=y-3x^{5}-7x^{3}-2x
Subtract 2x from both sides.