Answer
$2y^{4}+0y^{3}+0y^{2}+8y+0y^{0}$
Work Step by Step
$8y+2y^{4}$
Rewrite the expression by putting first the higher power term:
$8y+2y^{4}=2y^{4}+8y=...$
Insert a missing term of $0y^{3}$:
$...=2y^{4}+0y^{3}+8y=...$
Insert a missing term of $0y^{2}$:
$...=2y^{4}+0y^{3}+0y^{2}+8y=...$
Insert a missing term of $0y^{0}$:
$...=2y^{4}+0y^{3}+0y^{2}+8y+0y^{0}$