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