Answer :
[tex]23y-4z+\frac{1}{2}[/tex]
Explanation
[tex]9y+\frac{1}{4}+6y+\frac{1}{4}+8y-4z[/tex]
Step 1
add like terms (Like terms are terms that contain the same variables raised to the same power), in this case we have variables y and z, to the power 1
then
[tex]\begin{gathered} \text{reorder} \\ 9y+\frac{1}{4}+6y+\frac{1}{4}+8y-4z \\ 9y+6y+8y-4z+\frac{1}{4}+\frac{1}{4} \\ 23y-4z+\frac{2}{4} \end{gathered}[/tex]Step 2
simplify the fraction number
[tex]\begin{gathered} 23y-4z+\frac{2}{4} \\ 23y-4z+\frac{1}{2} \end{gathered}[/tex]I hope this helps you