Answer:
[tex]\Large \boxed{\frac{-5}{2}b -15}[/tex]
Step-by-step explanation:
[tex]\displaystyle (-14+\frac{3}{2}b )-(1+\frac{8}{2} b)[/tex]
Distributing the negative sign to the terms in the bracket.
[tex]\displaystyle -14+\frac{3}{2}b -1-\frac{8}{2} b[/tex]
Grouping the like terms in the expression.
[tex]\displaystyle (-\frac{8}{2} b +\frac{3}{2}b) +(-1-14)[/tex]
Combining the like terms in the expression.
[tex]\displaystyle (\frac{-8+3}{2}b) +(-15)[/tex]
[tex]\displaystyle (\frac{-5}{2}b) +(-15)[/tex]
