Y=[50+0.75(Y-0.20Y)]+90+140

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Solution for Y=[50+0.75(Y-0.20Y)]+90+140 equation: 


Simplifying
Y = [50 + 0.75(Y + -0.20Y)] + 90 + 140

Combine like terms: Y + -0.20Y = 0.8Y
Y = [50 + 0.75(0.8Y)] + 90 + 140

Remove parenthesis around (0.8Y)
Y = [50 + 0.75 * 0.8Y] + 90 + 140

Multiply 0.75 * 0.8
Y = [50 + 0.6Y] + 90 + 140

Remove brackets around [50 + 0.6Y]
Y = 50 + 0.6Y + 90 + 140

Reorder the terms:
Y = 50 + 90 + 140 + 0.6Y

Combine like terms: 50 + 90 = 140
Y = 140 + 140 + 0.6Y

Combine like terms: 140 + 140 = 280
Y = 280 + 0.6Y

Solving
Y = 280 + 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 = 280 + 0.6Y + -0.6Y

Combine like terms: Y + -0.6Y = 0.4Y
0.4Y = 280 + 0.6Y + -0.6Y

Combine like terms: 0.6Y + -0.6Y = 0.0
0.4Y = 280 + 0.0
0.4Y = 280

Divide each side by '0.4'.
Y = 700

Simplifying
Y = 700

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