Question 1

Simplify the following algebraic expression:-

$\mathrm {\cfrac{2}{3}\:y -2(\cfrac{4}{3}\:y+z)}$

Question 2

$\huge\text{Hey there!}$

$\huge\textbf{ORIGINAL equation:}$

$\mathsf{(2)/(3)y - 2((4)/(3)y + z)}$

$\huge\textbf{DISTRIBUTE \boxed{\rm{\bf -2}} within the}\\\\\huge\textbf{parentheses:}$

$\mathsf{(2)/(3)y - 2((4)/(3)y + z)}$

$\mathsf{= (2)/(3)y - 2((4)/(3)y) - 2(z)}$

$\mathsf{= (2)/(3)y - (8)/(3)y - 2z}$

$\huge\textbf{COMBINE the like terms:}$

$\mathsf{= ((2)/(3)y - (8)/(3)y) - (2z)}$

$\mathsf{= (2)/(3)y - (8)/(3)y - 2z}$

$\mathsf{-2y - 2z}$

$\huge\text{Therefore your answer should be:}$

$\huge\boxed{\mathsf{-2y - 2z}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

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