Let's solve the equation step by step:
Given the equation:
\[-5(1 - 0.5y) - 1.1 = 0.2(2y + 1)\]
Distribute on both sides:
Left side: \[-5(1 - 0.5y) = -5 + 2.5y\] Thus, the left side becomes: \[-5 + 2.5y - 1.1 = 2.5y - 6.1\]
Right side: \[0.2(2y + 1) = 0.4y + 0.2\]
Rewrite the equation:
So now the equation is: \[2.5y - 6.1 = 0.4y + 0.2\]
Get all terms involving \(y\) on one side and constant terms on the other side:
\[2.5y - 0.4y = 0.2 + 6.1\]
This simplifies to: \[2.1y = 6.3\]
Solve for \(y\):
Now, divide both sides by 2.1: \[y = \frac{6.3}{2.1} = 3\]
So, the solution to the equation is:
\[ \boxed{3} \]