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To rewrite the equation y = 23x - 3 in standard form, we need to express it in the form Ax + By = C, where A, B, and C are integers.
In this case, we can start by rearranging the equation:
y - 23x = -3
We want the coefficients of x and y to be integers, so let's multiply the entire equation by -1 to simplify it:
-1(y - 23x) = -1(-3)
- y + 23x = 3
To ensure that the coefficient of x is positive, let's multiply the equation by -1 again:
-(- y + 23x) = -(3)
y - 23x = -3
Now, we have the equation in the standard form Ax + By = C, where A = -23, B = 1, and C = -3.