Simple: you animate the position on multiple layers in 2D space. It appears those layers with the same color have been precomposed.
How do i do that? I am kind of new to After Effects.
Just a crazy idea: You could read the help or type Dace's keywords into a web search to find tutorials?! Sorry for being snarky, but seriously, simply get to it. Things won't happen magically.
Good advice all around. Kaplish you asking how to animate a layers position in 2d space? If so then the project you are trying to create is too advanced for you at the moment. Animating position across x & y is...hmmm, to say it's as basic as it gets would be an understatement. Tutorials you want to follow will have names like: "Getting Starting in After Effects", "Introduction to After Effects".
Even with the most basic tutorials you might have to take it upon yourself to do some research when you come across terms you do not understand. After Effects Classroom in a Book might be a safe bet for you as they will touch things like what a layer is, what 2D space is & how to manipulate the position of said layer across the x,y coordinates of 2 dimensional space.
In a way I almost feel like discouraging you from even trying.
Because I am a Jedi & that's what Jedi's do.
Or maybe I'm not a Jedi. Maybe I'm just a big Doody Head.
Or maybe I'm somewhere in-between.
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after you do some basic Ae training like the good folks suggested here, here are two different ways of achieving this type of animation:
1. with a shape layer. make one rectangle, add the repeater operator and set the offset position, number of copies and so forth. set a keyframe for the offset parameter
2. with a solid layer: add the Venetian blinds effect followed by a motion tile effect. adjust the parameters accordingly. set a keyframe for the tile center parameter
both of these techniques use the 3d switch of the layers to make them distort in perspective
here's a screenshots with all the modified properties revealed: