
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
Let the intersection point of line $l_1: 3x+4y-5=0$ and line $l_2: 2x-3y+8=0$ be $M$. Find:  
(1) The equation of the line passing through point $M$ and parallel to line $l: 2x+4y-5=0$;  
(2) The equation of the line passing through point $M$ and having a y-intercept of 4.

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