I want to minimise a function with multiple variable

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$y = \sqrt((x -16)^2 + (x - 6)^2) + \sqrt((x - q)^2 + (x- (-q +10))^2) + \sqrt((q + 7)^2 + ((-q+10) -13)^2)$

where ${x >= 10}$

${x<=20}$

${q>=-10}$

${q <= 0}$

${-q + 10 >= 10}$

${-q +10 <= 20}$

I know how to minimise a function with 1 variable. I know derivatives/intergrals

For more information the function is the distance between two points passing through two lines. In future I would like to add more lines.