Question

8(4-3y)-(7-2y)=-(6+3y)+8(y-2)

Answer 1

8(4-3y)-(7-2y)=-(6+3y)+8(y-2)
32-24у-7+2у=-6-3у+8у-16
25-22у=-22+5у
-22у-5у=-22-25
-27у=-47
у= $1 \frac{20}{27}$

Answer 2

Let's solve the equation step by step:

8(4 - 3y) - (7 - 2y) = -(6 + 3y) + 8(y - 2)

First, let's simplify the equation:

32 - 24y - 7 + 2y = -6 - 3y + 8y - 16

Combine like terms on both sides:

25 - 22y = -6 + 5y - 16

Combine the constant terms:

25 - 22y = -22 + 5y

Move all the variables to one side and the constant terms to the other side:

-22y - 5y = -22 - 25

-27y = -47

Now, divide both sides by -27 to isolate the variable:

y = -47 / -27

Simplifying the division:

y ≈ 1.74

Therefore, the solution to the equation is y ≈ 1.74.