Answer
$\color{blue}{-\dfrac{37}{20}}$
Work Step by Step
Make the fractions similar by using their LCD of $20$ to obtain:
$=\left(-\dfrac{2^3(4)}{5(4)}-\dfrac{3(5)}{4(5)}\right)-\left(-\dfrac{1(10)}{2(10)}\right)
\\=\left(-\dfrac{2^3(4)}{20}-\dfrac{15}{20}\right)+\dfrac{10}{20}$
Simplify using the PEMDAS rule for order of operations. The PEMDAS rule summarizes the order of operations:
First Priority; P - parentheses
Second Priority: E - exponents
Third Priorirty: M/D - multiplication or division, whichever comes first from the left
Fourth Priority: A/S - addition or subtraction, whichever comes first from the left
Apply the exponent first::
$=\left(\dfrac{-8(4)}{20}-\dfrac{15}{20}\right)+\dfrac{10}{20}
\\=\left(\dfrac{-32}{20} - \dfrac{15}{20}\right)+\dfrac{10}{20}$
Simplify within the parentheses to obtain:
$=\dfrac{-32-15}{20}+\dfrac{10}{20}
\\=\dfrac{-47}{20} + \dfrac{10}{20}$
Add the numerators and copy the denominator to obtain:
$=\dfrac{-47+10}{20}
\\\color{blue}{-\dfrac{37}{20}}$
