What value of y will make the expression yb-6+7+2b-3b+1 equivalent to 5b+2

Answer 1

To find the value of y that will make the expression yb-6+7+2b-3b+1 equivalent to 5b+2, we need to combine like terms.

First, let's combine the like terms on the left side of the equation:

yb + 2b - 3b = (y + 2 - 3)b = (y - 1)b

Now, let's combine the constant terms:

-6 + 7 + 1 = 2

So the left side of the equation simplifies to:

(y - 1)b + 2

Now we can set this equal to 5b + 2:

(y - 1)b + 2 = 5b + 2

Since the constants on both sides are the same, we can simply ignore them:

(y - 1)b = 5b

Now, we can divide both sides by b:

y - 1 = 5

Finally, adding 1 to both sides, we find:

y = 6

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