Question

24y - 6z; 6(4y - z); 7(8y - 2); 32z + 36y + 8

Explanation:

Step1: Factor $24y-6z$

Find GCD of 24 and 6: $\gcd(24,6)=6$.
Factor out 6: $24y-6z=6(4y - z)$

Step2: Expand $7(8y-2)$

Apply distributive property: $a(b-c)=ab-ac$
$7\times8y - 7\times2=56y - 14$

Step3: Factor $32z+36y+8$

Find GCD of 32,36,8: $\gcd(32,36,8)=4$.
Factor out 4: $32z+36y+8=4(9y + 8z + 2)$

Answer:

$6(4y - z)$, $56y - 14$, $4(9y + 8z + 2)$