Solving the Equation: (2y-1)/-3 = -5
This article will guide you through the steps of solving the equation (2y-1)/-3 = -5. Let's break down the process:
1. Multiply Both Sides by -3
To isolate the term with 'y', we need to get rid of the division by -3. We achieve this by multiplying both sides of the equation by -3:
-3 * [(2y-1)/-3] = -5 * -3
This simplifies to:
2y - 1 = 15
2. Add 1 to Both Sides
Next, we want to isolate 'y' by adding 1 to both sides of the equation:
2y - 1 + 1 = 15 + 1
This simplifies to:
2y = 16
3. Divide Both Sides by 2
Finally, to get 'y' by itself, we divide both sides of the equation by 2:
2y / 2 = 16 / 2
This gives us the solution:
**y = 8**
Conclusion
Therefore, the solution to the equation (2y-1)/-3 = -5 is y = 8.