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\frac{3y}{3}-\frac{1+3y}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply y times \frac{3}{3}.
\frac{3y-\left(1+3y\right)}{3}
Since \frac{3y}{3} and \frac{1+3y}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{3y-1-3y}{3}
Do the multiplications in 3y-\left(1+3y\right).
\frac{-1}{3}
Combine like terms in 3y-1-3y.
-\frac{1}{3}
Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.