What value of y
would make the expression yb−6+7+2b−3b+1
equivalent to 5b+2
?(1 point)
To find the value of y that would make the expressions equivalent, we need to simplify both expressions and set them equal to each other.
Expression 1: yb - 6 + 7 + 2b - 3b + 1
Simplifying, we combine like terms: (yb + 2b - 3b) + (7 + 1 - 6)
This simplifies further to: (y - 1)b + 2
So Expression 1 can be simplified to: (y - 1)b + 2
Expression 2: 5b + 2
Now, we can set the two expressions equal to each other and solve for y:
(y - 1)b + 2 = 5b + 2
(y - 1)b = 5b
Since the two expressions are equal, the coefficients of b must also be equal:
y - 1 = 5
Solving for y, we add 1 to both sides:
y = 5 + 1
Therefore, the value of y that would make the expression equivalent to 5b + 2 is y = 6.