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y^{3}+8=y^{3}+2y
Use the distributive property to multiply y+2 by y^{2}-2y+4 and combine like terms.
y^{3}+8-y^{3}=2y
Subtract y^{3} from both sides.
8=2y
Combine y^{3} and -y^{3} to get 0.
2y=8
Swap sides so that all variable terms are on the left hand side.
y=\frac{8}{2}
Divide both sides by 2.
y=4
Divide 8 by 2 to get 4.