Answer:
[tex]\boxed{\dfrac{27}{4}}[/tex]
Step-by-step explanation:
[tex]\large2(x + 4 ) - ( y \times 8 )[/tex]
Substitute the values in the expression
[tex]\rightarrow 2\huge{\text{[}\huge{\text{(}\dfrac{1}{8}\huge{\text{)}+ 4 \huge{\text{]} - \huge{\text{[}\huge{\text{(}\dfrac{3}{16}}\huge{\text{)} \times 8 \huge{\text{]}[/tex]
Open the parenthesis
[tex]\rightarrow 2\huge{\text{[}\dfrac{1}{8}+ 4 \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{3}{16}}\huge{\text{} \times 8 \huge{\text{]}[/tex]
Simplify the subtrahend
[tex]\rightarrow 2\huge{\text{[}\dfrac{1}{8}+ \dfrac{4}{1} \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{3}{2}}\huge{\text{} \times 1 \huge{\text{]}[/tex]
Make common denominators in the minuend.
[tex]\rightarrow 2\huge{\text{[}\dfrac{1}{8}+ \dfrac{32}{8} \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{3}{2}}\huge{\text{} \huge{\text{]}[/tex]
Simplify the minuend.
[tex]\rightarrow 2\huge{\text{[}\dfrac{33}{8} \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{3}{2}}\huge{\text{} \huge{\text{]}[/tex]
[tex]\rightarrow \huge{\text{[}\dfrac{66}{8} \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{3}{2}}\huge{\text{} \huge{\text{]}[/tex]
Make common denominators
[tex]\rightarrow \huge{\text{[}\dfrac{33}{4} \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{6}{4}}\huge{\text{} \huge{\text{]}[/tex]
Open the brackets
[tex]\rightarrow \dfrac{33}{4} - \dfrac{6}{4}[/tex]
Subtract
[tex]\rightarrow \boxed{\dfrac{27}{4}}[/tex]
