Y=100+0.6(Y-200)+250+200+150

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Solution for Y=100+0.6(Y-200)+250+200+150 equation: 


Simplifying
Y = 100 + 0.6(Y + -200) + 250 + 200 + 150

Reorder the terms:
Y = 100 + 0.6(-200 + Y) + 250 + 200 + 150
Y = 100 + (-200 * 0.6 + Y * 0.6) + 250 + 200 + 150
Y = 100 + (-120 + 0.6Y) + 250 + 200 + 150

Reorder the terms:
Y = 100 + -120 + 250 + 200 + 150 + 0.6Y

Combine like terms: 100 + -120 = -20
Y = -20 + 250 + 200 + 150 + 0.6Y

Combine like terms: -20 + 250 = 230
Y = 230 + 200 + 150 + 0.6Y

Combine like terms: 230 + 200 = 430
Y = 430 + 150 + 0.6Y

Combine like terms: 430 + 150 = 580
Y = 580 + 0.6Y

Solving
Y = 580 + 0.6Y

Solving for variable 'Y'.

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

Add '-0.6Y' to each side of the equation.
Y + -0.6Y = 580 + 0.6Y + -0.6Y

Combine like terms: Y + -0.6Y = 0.4Y
0.4Y = 580 + 0.6Y + -0.6Y

Combine like terms: 0.6Y + -0.6Y = 0.0
0.4Y = 580 + 0.0
0.4Y = 580

Divide each side by '0.4'.
Y = 1450

Simplifying
Y = 1450

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