To subtract \((2y + 6)\) from \((6y + 1)\), first distribute the negative sign through the second expression:
\[ (6y + 1) - (2y + 6) = (6y + 1) - 2y - 6 \]
Now, combine the like terms:
- For the \(y\) terms: \(6y - 2y = 4y\)
- For the constant terms: \(1 - 6 = -5\)
Putting it all together, we get:
\[ 4y - 5 \]
So, \((6y + 1) - (2y + 6) = 4y - 5\).