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 that would make the two expressions equivalent, we can set them equal to each other and solve for y.

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

Simplifying this expression, we get: yb - 6 + 7 + 2b - 3b + 1 = yb - b - 2

Setting this expression equal to 5b + 2, we have: yb - b - 2 = 5b + 2

Next, we can combine like terms: yb - b - 5b = 2 + 2

Simplifying further, we get: (y - 6)b = 4

To make this expression equivalent to 4, we need (y - 6) to equal 4/b.

Therefore, the value of y that would make the expression equivalent to 5b + 2 is y = 4/b + 6.