Question

0.5y-(4.3y+2.7)+0.3y=46.3

Answer 1

0.5y-4.3y-2.7+0.3y=46.3
-3.5y=49|:(-3.5)
y=-14

Answer 2

To solve the equation, we need to combine like terms and isolate the variable "y" on one side of the equation. Let's proceed step by step:

1. Distribute the negative sign to the terms inside the parentheses: 0.5y - 4.3y - 2.7 + 0.3y = 46.3

2. Combine the "y" terms on the left side of the equation: (0.5y - 4.3y + 0.3y) - 2.7 = 46.3

3. Combine like terms within the parentheses: (-3.5y) - 2.7 = 46.3

4. Now, isolate the variable "y" by moving the constant term (-2.7) to the other side of the equation by adding 2.7 to both sides: -3.5y = 46.3 + 2.7

5. Simplify the right side of the equation: -3.5y = 49

6. Finally, solve for "y" by dividing both sides by -3.5: y = 49 / -3.5

Calculating the result: y = -14

So, the value of "y" that satisfies the equation is -14.