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Solve for y_6
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x^{8}+794x+y_{6}=7474x^{3}
Swap sides so that all variable terms are on the left hand side.
794x+y_{6}=7474x^{3}-x^{8}
Subtract x^{8} from both sides.
y_{6}=7474x^{3}-x^{8}-794x
Subtract 794x from both sides.