what value of y would make the expression yb - 6 + 7 + 2b - 3b + 1 equivalent to 5b + 2? (1point)

Answer 1

To find the value of y that would make the expression equivalent to 5b + 2, we need to simplify the expression and equate it to 5b + 2.

The given expression is yb - 6 + 7 + 2b - 3b + 1.

Combining like terms, we have:
(yb + 2b - 3b) + (7 - 6 + 1)

This simplifies to:
yb - b + 2

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

yb - b + 2 = 5b + 2

To isolate y, we can subtract 5b from both sides and add b to both sides:

yb - 5b = 5b - 5b + b + 2

Simplifying further:

yb - 5b - b = 2

Combining like terms:

(y - 6)b = 2

Dividing both sides by (y - 6):

b = 2 / (y - 6)

Therefore, any value of y that makes the expression equivalent to 5b + 2 is such that y - 6 ≠ 0. In other words, y ≠ 6.