\(\frac{4}{b}-\frac{1}{2b}=-\frac{7}{4}\)
\(\frac{2}{2}\times\frac{4}{b}-\frac{1}{2b}=-\frac{7}{4}\)
\(\frac{8}{2b}-\frac{1}{2b}=-\frac{7}{4}\)
\(\frac{7}{2b}=-\frac{7}{4}\)
\(\frac{7}{2b}\times2b=-\frac{7}{4}\times2b\)
\(7=-\frac{7}{4}\times2b\)
\(7=-\frac{14b}{4}\)
\(7\times4=-\frac{14b}{4}\times4\)
\(28=-\frac{14b}{4}\times4\)
\(28=-14b\)
\(\frac{28}{-14}=\frac{-14b}{-14}\)
\(\frac{2}{-1}=\frac{-14b}{-14}\)
\(-2=\frac{-14b}{-14}\)
\(-2=1b\)
\(-2=b\)
\(b=-2\)
.