z=5-0.5z+y

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Solution for z=5-0.5z+y equation: 


Simplifying
z = 5 + -0.5z + y

Reorder the terms:
z = 5 + y + -0.5z

Solving
z = 5 + y + -0.5z

Solving for variable 'z'.

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

Add '0.5z' to each side of the equation.
z + 0.5z = 5 + y + -0.5z + 0.5z

Combine like terms: z + 0.5z = 1.5z
1.5z = 5 + y + -0.5z + 0.5z

Combine like terms: -0.5z + 0.5z = 0.0
1.5z = 5 + y + 0.0
1.5z = 5 + y

Divide each side by '1.5'.
z = 3.333333333 + 0.6666666667y

Simplifying
z = 3.333333333 + 0.6666666667y

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