What is the maximum distance i can keep an mpu6050 board soldered to arduino? What are some steps I should do to ensure stability? I couldn't find a source on cable awg effecting the connection quality so i needed to ask for the basics, i apologize.
That depends on the cables used and how noisy the electrical environment is.
Don't count on more than a few cm, depending on how careful you are with the wiring. I2C was designed for chip to chip communications on a single PCB.
I have mine about 18 inches away because it's at the end of an actuator, but I wouldn't push it beyond that.