First subtract 8 from both sides of the equation, then rewrite $\displaystyle{\left|{6}{y}+{3}\right|}={27}\usepackage{cmbright}\Huge\$ as:

$\displaystyle{6}{y}+{3}={27}\usepackage{cmbright}\Huge\$ or $\displaystyle{6}{y}+{3}=-{27}\usepackage{cmbright}\Huge\$

Subtract 3 from both sides of both equations: $\displaystyle{6}{y}={24}\usepackage{cmbright}\Huge\$ or $\displaystyle{6}{y}=-{30}\usepackage{cmbright}\Huge\$

Divide both sides of both equations by 6: $\displaystyle{y}={4}\usepackage{cmbright}\Huge\$ or $\displaystyle{y}=-{5}\usepackage{cmbright}\Huge\$