Y=100+0.8(Y-200)+100+300

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Solution for Y=100+0.8(Y-200)+100+300 equation:


Simplifying
Y = 100 + 0.8(Y + -200) + 100 + 300

Reorder the terms:
Y = 100 + 0.8(-200 + Y) + 100 + 300
Y = 100 + (-200 * 0.8 + Y * 0.8) + 100 + 300
Y = 100 + (-160 + 0.8Y) + 100 + 300

Reorder the terms:
Y = 100 + -160 + 100 + 300 + 0.8Y

Combine like terms: 100 + -160 = -60
Y = -60 + 100 + 300 + 0.8Y

Combine like terms: -60 + 100 = 40
Y = 40 + 300 + 0.8Y

Combine like terms: 40 + 300 = 340
Y = 340 + 0.8Y

Solving
Y = 340 + 0.8Y

Solving for variable 'Y'.

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

Add '-0.8Y' to each side of the equation.
Y + -0.8Y = 340 + 0.8Y + -0.8Y

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 340 + 0.8Y + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 340 + 0.0
0.2Y = 340

Divide each side by '0.2'.
Y = 1700

Simplifying
Y = 1700

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