Law and Brownian Bridge

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Let $Z_{t}= W_{t}-tW_{1}$ and $Y_{1}=\sup_{0\leq t\leq 1}Z_{t}$, $(W_t, t \geq 0)$ standard Brownian motion

Find the law of $Y_{1}$

I know that $\textbf{P}(\sup_{0\leq t\leq 1}W_{t}\geq x , W_{1}\leq y) = \textbf{P}(W_{1}\geq 2x-y)$ $\forall x\geq y$,$\forall x\geq 0$

Now I want to find $\textbf{P}(Y_{1}\geq x)$

Some help would be appreciated