zy-dm=ky/t for y | MathCelebrity Forum

zy-dm=ky/t for y

math_celebrity

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zy-dm=ky/t for y

Isolate terms with y to solve this literal equation.

Subtract zy from each side:
zy - dm - zy = ky/t - zy

Cancel the zy terms on the left side, we get:
-dm = ky/t - zy

Factor out y:
y(k/t - z) = -dm

Divide each side by (k/t - z)
y = -dm/(k/t - z)

(k/t - z) can be rewritten as (k - tz)/t

We multiply -dm by the reciprocal of this quotient to get our simplified literal equation:
y = -dmt/(k - tz)
 
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