First add 10 to both sides of the equation, then rewrite $\displaystyle{\left|{3}{y}-{7}\right|}={5}\usepackage{cmbright}\Huge\$ as:

$\displaystyle{3}{y}-{7}={5}\usepackage{cmbright}\Huge\$ or $\displaystyle{3}{y}-{7}=-{5}\usepackage{cmbright}\Huge\$

Add 7 to both sides of both equations: $\displaystyle{3}{y}={12}\usepackage{cmbright}\Huge\$ or $\displaystyle{3}{y}={2}\usepackage{cmbright}\Huge\$

Divide both sides of both equations by 3: $\displaystyle{y}={4}\usepackage{cmbright}\Huge\$ or $\displaystyle{y}=\frac{{2}}{{3}}\usepackage{cmbright}\Huge\$