Solving the Equation: (3 + 5) * 2y = (5 * 8) - (2 * 4)
This equation involves a combination of arithmetic operations and an unknown variable, y. Let's break it down step by step to solve for y:
1. Simplify both sides of the equation:
- Left side: (3 + 5) * 2y = 8 * 2y = 16y
- Right side: (5 * 8) - (2 * 4) = 40 - 8 = 32
Now the equation becomes: 16y = 32
2. Isolate the variable (y):
To isolate y, we need to get rid of the coefficient 16. We can do this by dividing both sides of the equation by 16:
- 16y / 16 = 32 / 16
3. Simplify the equation:
This gives us: y = 2
Conclusion:
Therefore, the solution to the equation (3 + 5) * 2y = (5 * 8) - (2 * 4) is y = 2.