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Solve for y_5
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2x+3y_{5}=x^{4}
Swap sides so that all variable terms are on the left hand side.
3y_{5}=x^{4}-2x
Subtract 2x from both sides.
\frac{3y_{5}}{3}=\frac{x\left(x^{3}-2\right)}{3}
Divide both sides by 3.
y_{5}=\frac{x\left(x^{3}-2\right)}{3}
Dividing by 3 undoes the multiplication by 3.