Y=150+0.7(Y-200)+50+0.2+200+40-0.1

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Solution for Y=150+0.7(Y-200)+50+0.2+200+40-0.1 equation: 


Simplifying
Y = 150 + 0.7(Y + -200) + 50 + 0.2 + 200 + 40 + -0.1

Reorder the terms:
Y = 150 + 0.7(-200 + Y) + 50 + 0.2 + 200 + 40 + -0.1
Y = 150 + (-200 * 0.7 + Y * 0.7) + 50 + 0.2 + 200 + 40 + -0.1
Y = 150 + (-140 + 0.7Y) + 50 + 0.2 + 200 + 40 + -0.1

Reorder the terms:
Y = 150 + -140 + 50 + 0.2 + 200 + 40 + -0.1 + 0.7Y

Combine like terms: 150 + -140 = 10
Y = 10 + 50 + 0.2 + 200 + 40 + -0.1 + 0.7Y

Combine like terms: 10 + 50 = 60
Y = 60 + 0.2 + 200 + 40 + -0.1 + 0.7Y

Combine like terms: 60 + 0.2 = 60.2
Y = 60.2 + 200 + 40 + -0.1 + 0.7Y

Combine like terms: 60.2 + 200 = 260.2
Y = 260.2 + 40 + -0.1 + 0.7Y

Combine like terms: 260.2 + 40 = 300.2
Y = 300.2 + -0.1 + 0.7Y

Combine like terms: 300.2 + -0.1 = 300.1
Y = 300.1 + 0.7Y

Solving
Y = 300.1 + 0.7Y

Solving for variable 'Y'.

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

Add '-0.7Y' to each side of the equation.
Y + -0.7Y = 300.1 + 0.7Y + -0.7Y

Combine like terms: Y + -0.7Y = 0.3Y
0.3Y = 300.1 + 0.7Y + -0.7Y

Combine like terms: 0.7Y + -0.7Y = 0.0
0.3Y = 300.1 + 0.0
0.3Y = 300.1

Divide each side by '0.3'.
Y = 1000.333333

Simplifying
Y = 1000.333333

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