What value of y would make the expression Yb - 6 + 7 + 2b - 3b + 1 equivalent to 5b + 2?

1 answer

To find the value of y, we need to simplify the expression:

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

Combining like terms:

(Yb + 2b - 3b) + (-6 + 7 + 1)

Yb - b + 2

Now we can set this expression equal to 5b + 2 and solve for y:

Yb - b + 2 = 5b + 2

Adding b to both sides:

Yb + 2 = 6b + 2

Subtracting 2 from both sides:

Yb = 6b

Dividing both sides by b:

Y = 6

Therefore, the value of y that would make the expression equivalent to 5b + 2 is 6.