Y=[30+0.75(Y-0.20)]+90+140

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Solution for Y=[30+0.75(Y-0.20)]+90+140 equation: 


Simplifying
Y = [30 + 0.75(Y + -0.20)] + 90 + 140

Reorder the terms:
Y = [30 + 0.75(-0.20 + Y)] + 90 + 140
Y = [30 + (-0.20 * 0.75 + Y * 0.75)] + 90 + 140
Y = [30 + (-0.15 + 0.75Y)] + 90 + 140

Combine like terms: 30 + -0.15 = 29.85
Y = [29.85 + 0.75Y] + 90 + 140

Remove brackets around [29.85 + 0.75Y]
Y = 29.85 + 0.75Y + 90 + 140

Reorder the terms:
Y = 29.85 + 90 + 140 + 0.75Y

Combine like terms: 29.85 + 90 = 119.85
Y = 119.85 + 140 + 0.75Y

Combine like terms: 119.85 + 140 = 259.85
Y = 259.85 + 0.75Y

Solving
Y = 259.85 + 0.75Y

Solving for variable 'Y'.

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

Add '-0.75Y' to each side of the equation.
Y + -0.75Y = 259.85 + 0.75Y + -0.75Y

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 259.85 + 0.75Y + -0.75Y

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 259.85 + 0.00
0.25Y = 259.85

Divide each side by '0.25'.
Y = 1039.4

Simplifying
Y = 1039.4

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