what volume of Y would make the expression Y -6 + 7 + 2b - 3b + 1 equivalent to 5b + 2

Question

(1 point)

Answer 1

To find the volume of Y that makes the expression equivalent, we need to simplify both sides of the equation and solve for Y.

First, let's simplify the left side of the equation:

Y - 6 + 7 + 2b - 3b + 1

Combine like terms:

Y + 7 - 6 + 2b - 3b + 1

Simplify further:

Y + 2b - 3b + 2

Combine like terms again:

Y - b + 2

Now, the equation becomes:

Y - b + 2 = 5b + 2

To isolate Y, let's move the b terms to one side:

Y = 5b + 2 + b - 2

Combine like terms:

Y = 6b

The volume of Y that makes the expression equivalent to 5b + 2 is 6b.