
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given vectors $\overrightarrow {AB} = (4,3)$, $\overrightarrow {AD} = (-3,-1)$, and point $A(-1,-2)$.  
(1) Find the coordinates of point $M$, the midpoint of line segment $BD$;  
(2) If point $P$ has coordinates $(2,y)$ and satisfies $P\overrightarrow{B} = \lambda \overrightarrow{BD}$ (where $\lambda \in \mathbb{R}$), find the values of $y$ and $\lambda$.

Present the answer in LaTex format: \boxed{Your answer}
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