Y=150+0.7(Y-200)+50+0.2Y+200

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Solution for Y=150+0.7(Y-200)+50+0.2Y+200 equation: 


Simplifying
Y = 150 + 0.7(Y + -200) + 50 + 0.2Y + 200

Reorder the terms:
Y = 150 + 0.7(-200 + Y) + 50 + 0.2Y + 200
Y = 150 + (-200 * 0.7 + Y * 0.7) + 50 + 0.2Y + 200
Y = 150 + (-140 + 0.7Y) + 50 + 0.2Y + 200

Reorder the terms:
Y = 150 + -140 + 50 + 200 + 0.7Y + 0.2Y

Combine like terms: 150 + -140 = 10
Y = 10 + 50 + 200 + 0.7Y + 0.2Y

Combine like terms: 10 + 50 = 60
Y = 60 + 200 + 0.7Y + 0.2Y

Combine like terms: 60 + 200 = 260
Y = 260 + 0.7Y + 0.2Y

Combine like terms: 0.7Y + 0.2Y = 0.9Y
Y = 260 + 0.9Y

Solving
Y = 260 + 0.9Y

Solving for variable 'Y'.

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

Add '-0.9Y' to each side of the equation.
Y + -0.9Y = 260 + 0.9Y + -0.9Y

Combine like terms: Y + -0.9Y = 0.1Y
0.1Y = 260 + 0.9Y + -0.9Y

Combine like terms: 0.9Y + -0.9Y = 0.0
0.1Y = 260 + 0.0
0.1Y = 260

Divide each side by '0.1'.
Y = 2600

Simplifying
Y = 2600

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