Y=[30+0.75(Y-0.20Y)]+90+0.2Y

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Solution for Y=[30+0.75(Y-0.20Y)]+90+0.2Y equation: 


Simplifying
Y = [30 + 0.75(Y + -0.20Y)] + 90 + 0.2Y

Combine like terms: Y + -0.20Y = 0.8Y
Y = [30 + 0.75(0.8Y)] + 90 + 0.2Y

Remove parenthesis around (0.8Y)
Y = [30 + 0.75 * 0.8Y] + 90 + 0.2Y

Multiply 0.75 * 0.8
Y = [30 + 0.6Y] + 90 + 0.2Y

Remove brackets around [30 + 0.6Y]
Y = 30 + 0.6Y + 90 + 0.2Y

Reorder the terms:
Y = 30 + 90 + 0.6Y + 0.2Y

Combine like terms: 30 + 90 = 120
Y = 120 + 0.6Y + 0.2Y

Combine like terms: 0.6Y + 0.2Y = 0.8Y
Y = 120 + 0.8Y

Solving
Y = 120 + 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 = 120 + 0.8Y + -0.8Y

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 120 + 0.8Y + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 120 + 0.0
0.2Y = 120

Divide each side by '0.2'.
Y = 600

Simplifying
Y = 600

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