First, distribute the 5 to both terms inside the parentheses:
5(-y - 9) = 5(-y) + 5(-9) = -5y - 45
The equation now becomes:
-5y - 45 - 6y = 1
Combine like terms on the left side:
-11y - 45 = 1
Add 45 to both sides to isolate the term with y:
-11y - 45 + 45 = 1 + 45
-11y = 46
y=\frac{46}{-11}