Correct. Subtract 6 from all parts: $\displaystyle-{18}-{6}<{4}{y}+{6}-{6}\le{26}-{6}\usepackage{cmbright}\Huge\$

Simplify to $\displaystyle-{24}<{4}{y}\le{20}\usepackage{cmbright}\Huge\$ , then divide all parts by 4.

$\displaystyle\frac{{-{24}}}{{4}}<\frac{{{4}{y}}}{{4}}\le\frac{{20}}{{4}}\usepackage{cmbright}\Huge\$ , so $\displaystyle-{6}<{y}\le{5}\usepackage{cmbright}\Huge\$