Add or subtract. Assume that all variables represent positive real numbers. \( 8+8 \sqrt{y^{6}}+8 \sqrt{y^{6}}+5 \) \( 8+8 \sqrt{y^{6}}+8 \sqrt{y^{6}}+5=\square \) (Type an exact answer, using radicals as needed. Simplify your answer.)
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To simplify the expression \( 8 + 8 \sqrt{y^{6}} + 8 \sqrt{y^{6}} + 5 \), we first combine like terms. The two \( 8 \sqrt{y^{6}} \) terms can be added together: \[ 8 + 5 + 8 \sqrt{y^{6}} + 8 \sqrt{y^{6}} = 13 + 16 \sqrt{y^{6}} \] Next, we simplify \( \sqrt{y^{6}} \): \[ \sqrt{y^{6}} = y^{3} \] Now, we replace \( \sqrt{y^{6}} \) in our expression: \[ 16 \sqrt{y^{6}} = 16y^{3} \] Putting it all together, we get: \[ 8 + 8 \sqrt{y^{6}} + 8 \sqrt{y^{6}} + 5 = \boxed{13 + 16y^{3}} \]