z=100+0.75*(y-(100+0.2*Y))+175+50

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Solution for z=100+0.75*(y-(100+0.2*Y))+175+50 equation: 


Simplifying
z = 100 + 0.75(y + -1(100 + 0.2Y)) + 175 + 50
z = 100 + 0.75(y + (100 * -1 + 0.2Y * -1)) + 175 + 50
z = 100 + 0.75(y + (-100 + -0.2Y)) + 175 + 50

Reorder the terms:
z = 100 + 0.75(-100 + -0.2Y + y) + 175 + 50
z = 100 + (-100 * 0.75 + -0.2Y * 0.75 + y * 0.75) + 175 + 50
z = 100 + (-75 + -0.15Y + 0.75y) + 175 + 50

Reorder the terms:
z = 100 + -75 + 175 + 50 + -0.15Y + 0.75y

Combine like terms: 100 + -75 = 25
z = 25 + 175 + 50 + -0.15Y + 0.75y

Combine like terms: 25 + 175 = 200
z = 200 + 50 + -0.15Y + 0.75y

Combine like terms: 200 + 50 = 250
z = 250 + -0.15Y + 0.75y

Solving
z = 250 + -0.15Y + 0.75y

Solving for variable 'z'.

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

Simplifying
z = 250 + -0.15Y + 0.75y

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