Step 1. Simplify [tex] \frac{3}{2} x[/tex] to [tex] \frac{3x}{2} [/tex]
[tex]y= -\frac{3x}{2} +6[/tex]
Step 2. Subtract 6 from both sides
[tex]y-6=- \frac{3x}{2} [/tex]
Step 3. Multiply both sides by 2
[tex](y-6)*2=-3x[/tex]
Step 4. Regroup terms
[tex]2(y-6)=-3x[/tex]
Step 5. Divide both sides by [tex]-3[/tex]
[tex]- \frac{2(y-6)}{3} =x[/tex]
Step 6. Switch sides
[tex]x=- \frac{2(y-6)}{3} [/tex]
Done! :) ✓