Correct. Distribute the subtraction sign to both terms in the subtrahend. Rearrange the terms to put like terms together, and then combine like terms.

$\displaystyle{\left({8}+{9}{i}\right)}-{\left({6}+{2}{i}\right)}={8}+{9}{i}-{6}-{2}{i}={8}-{6}+{9}{i}-{2}{i}={2}+{7}{i}\usepackage{cmbright}\Huge\$

The imaginary part is $\displaystyle{7}{i}\usepackage{cmbright}\Huge\$ .