Given the equation:
[tex]4x-5=7+4y[/tex]To solve this equation for y, we subtract 7 from each side:
[tex]\begin{gathered} 4x-5-7=7+4y-7 \\ \\ \Rightarrow4x-12=4y \end{gathered}[/tex]Finally, we divide by 4 on both sides:
[tex]\begin{gathered} \frac{4x}{4}-\frac{12}{4}=\frac{4y}{4} \\ \\ \therefore y=x-3 \end{gathered}[/tex]