To solve the inequality 4 - 6y ≥ 19 - 3y for y, follow these steps:
1. **Isolate the y terms on one side:**
Start by moving all y terms to one side of the inequality. You can do this by adding 3y to both sides of the inequality.
4 - 6y + 3y ≥ 19
Simplifying the left side: 4 - 3y ≥ 19
2. **Isolate the y term:**
Next, move the constant term to the other side by subtracting 4 from both sides of the inequality.
4 - 4 - 3y ≥ 19 - 4
-3y ≥ 15
3. **Solve for y:**
To find the value of y, divide by -3. Remember, when you divide or multiply by a negative number, the inequality sign flips.
(-3y)/(-3) ≤ 15/(-3)
y ≤ -5
Therefore, the solution to the inequality 4 - 6y ≥ 19 - 3y is y ≤ -5.
