Question

4-4,5у=2у-2/3(8у-10)

Answer 1

как-то так ##############

Answer 2

Let's solve the equation step by step:

4 - 4.5y = 2y - (2/3)(8y - 10)

First, let's simplify the right side of the equation by distributing the (2/3) term:

4 - 4.5y = 2y - (16/3)y + (20/3)

Now, let's combine like terms:

4 - 4.5y = (2y - (16/3)y) + (20/3)

To combine the y terms on the right side, we need to find a common denominator:

4 - 4.5y = (6/3)y - (16/3)y + (20/3)

Combining the y terms, we get:

4 - 4.5y = (-10/3)y + (20/3)

Now, let's combine the constant terms on the right side:

4 - 4.5y = (-10/3)y + (20/3)

To get rid of the fractions, we can multiply the entire equation by 3:

3(4 - 4.5y) = 3((-10/3)y + (20/3))

Simplifying the equation further:

12 - 13.5y = -10y + 20

Next, let's collect the y terms on one side of the equation by adding 13.5y and subtracting 20 from both sides:

12 - 13.5y + 13.5y - 20 = -10y + 13.5y + 20 - 20

Simplifying the equation further:

-8.5y - 8 = 3.5y

Now, let's combine the y terms:

-8.5y - 3.5y = 8

Simplifying the equation further:

-12y = 8

Finally, divide both sides of the equation by -12 to solve for y:

y = 8 / -12

Simplifying the equation further:

y = -2/3

Therefore, the solution to the equation 4 - 4.5y = 2y - (2/3)(8y - 10) is y = -2/3.