yw+yz=r

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Solution for yw+yz=r equation: 


Simplifying
yw + yz = r

Solving
wy + yz = r

Solving for variable 'w'.

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

Add '-1yz' to each side of the equation.
wy + yz + -1yz = r + -1yz

Combine like terms: yz + -1yz = 0
wy + 0 = r + -1yz
wy = r + -1yz

Divide each side by 'y'.
w = ry-1 + -1z

Simplifying
w = ry-1 + -1z

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