First subtract 7 from both sides of the equation, then rewrite $\displaystyle{\left|{4}{y}-{2}\right|}={30}\usepackage{cmbright}\Huge\$ as:

$\displaystyle{4}{y}-{2}={30}\usepackage{cmbright}\Huge\$ or $\displaystyle{4}{y}-{2}=-{30}\usepackage{cmbright}\Huge\$

Add 2 to both sides of both equations: $\displaystyle{4}{y}={32}\usepackage{cmbright}\Huge\$ or $\displaystyle{4}{y}=-{28}\usepackage{cmbright}\Huge\$

Divide both sides of both equations by 4: $\displaystyle{y}={8}\usepackage{cmbright}\Huge\$ or $\displaystyle{y}=-{7}\usepackage{cmbright}\Huge\$