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\frac{\left(y^{2}+11y+8\right)y}{y}+\frac{24}{y}
To add or subtract expressions, expand them to make their denominators the same. Multiply y^{2}+11y+8 times \frac{y}{y}.
\frac{\left(y^{2}+11y+8\right)y+24}{y}
Since \frac{\left(y^{2}+11y+8\right)y}{y} and \frac{24}{y} have the same denominator, add them by adding their numerators.
\frac{y^{3}+11y^{2}+8y+24}{y}
Do the multiplications in \left(y^{2}+11y+8\right)y+24.