y+dx=m

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Solution for y+dx=m equation: 


Simplifying
y + dx = m

Reorder the terms:
dx + y = m

Solving
dx + y = m

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-1y' to each side of the equation.
dx + y + -1y = m + -1y

Combine like terms: y + -1y = 0
dx + 0 = m + -1y
dx = m + -1y

Divide each side by 'x'.
d = mx-1 + -1x-1y

Simplifying
d = mx-1 + -1x-1y

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