Question

Simplify the following algebraic expression:-


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

Answer 1

`\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`

~
`\frak{Amphitrite1040:)}`