Question

0,4(5-2y)=4,6-0,2(y+5)​

Answer 1

Ответ:

$0.4(5 - y) = 4.6 - 0.2(y + 5) \\ 2 - 0.4y = 4.6 - 0.2y - 1 \\ - 0.4y + 0.2y = 3.6 - 2 \\ - 0.2y = 1.6 \\ y = - 8$

Answer 2

To solve the equation 0.4(5 - 2y) = 4.6 - 0.2(y + 5), you can follow these steps:

1. Distribute the constants on both sides of the equation:

0.4 * 5 - 0.4 * 2y = 4.6 - 0.2y - 0.2 * 5

2. Simplify the equation:

2 - 0.8y = 4.6 - 0.2y - 1

3. Combine like terms on each side of the equation:

2 - 0.8y = 3.6 - 0.2y

4. Move the terms involving 'y' to one side of the equation and the constants to the other side. You can do this by adding 0.8y and subtracting 3.6 from both sides:

2 - 3.6 = -0.2y + 0.8y

-1.6 = 0.6y

5. Now, divide both sides by 0.6 to isolate 'y':

-1.6 / 0.6 = y

y ≈ -2.67

So, the solution to the equation is y ≈ -2.67.