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

Answer 1

To find the value of y that makes the expression equivalent to 5b+2, we can combine like terms.

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

Simplifying further, we have:

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

Combining like terms, we have:

(y - b) + 2

Now, to make this equivalent to 5b + 2, we set it equal to 5b + 2:

y - b + 2 = 5b + 2

Now we can subtract 2 from both sides to get:

y - b = 5b

Finally, adding b to both sides:

y = 5b + b

Simplifying, we have:

y = 6b

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