Answer
$$y = 0$$
To check if this solution is correct, we substitute $0$ in for $y$:
$$6(0 - 1) + 7 = 9(0) - 0 + 1$$
Simplify what is in parentheses first:
$$-6 + 7 - 0 = 0 + 1$$
Subtract or add from left to right:
$$1 - 0 = 1$$
Simplify:
$$1 = 1$$
Since both sides of the equation equal one another, we know that the solution is correct.
Work Step by Step
First, we need to simplify this equation.
Distribute terms that are in parentheses:
$$6y - 6 + 7 = 9y - y +1$$
Next, combine like terms on both sides of the equation:
$$6y + 1 = 8y + 1$$
Move variables to one side of the equation:
$$2y + 1 = 1$$
Subtract each side by $1$ to move constants to one side of the equation:
$$2y = 0$$
Divide each side by $2$ to isolate $y$:
$$y = 0$$
To check if this solution is correct, we substitute $0$ in for $y$:
$$6(0 - 1) + 7 = 9(0) - 0 + 1$$
Simplify what is in parentheses first:
$$-6 + 7 - 0 = 0 + 1$$
Subtract or add from left to right:
$$1 - 0 = 1$$
Simplify:
$$1 = 1$$
Since both sides of the equation equal one another, we know that the solution is correct.
