We are given the following inequality
[tex]-3x+3y>15[/tex]We want to solve the inequality for y.
Step 1:
Add 3x on both sides of the inequality
[tex]\begin{gathered} 3x-3x+3y>15+3x \\ 3y>15+3x \end{gathered}[/tex]Step 2:
Divide both sides of the inequality by 3.
[tex]\begin{gathered} \frac{3y}{3}>\frac{15+3x}{3} \\ y>\frac{15}{3}+\frac{3x}{3} \\ y>5+x \end{gathered}[/tex]Therefore, y > 5 + x