Y=150+0.7(Y-220)+50+0.2+220+40-0.1

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Solution for Y=150+0.7(Y-220)+50+0.2+220+40-0.1 equation: 


Simplifying
Y = 150 + 0.7(Y + -220) + 50 + 0.2 + 220 + 40 + -0.1

Reorder the terms:
Y = 150 + 0.7(-220 + Y) + 50 + 0.2 + 220 + 40 + -0.1
Y = 150 + (-220 * 0.7 + Y * 0.7) + 50 + 0.2 + 220 + 40 + -0.1
Y = 150 + (-154 + 0.7Y) + 50 + 0.2 + 220 + 40 + -0.1

Reorder the terms:
Y = 150 + -154 + 50 + 0.2 + 220 + 40 + -0.1 + 0.7Y

Combine like terms: 150 + -154 = -4
Y = -4 + 50 + 0.2 + 220 + 40 + -0.1 + 0.7Y

Combine like terms: -4 + 50 = 46
Y = 46 + 0.2 + 220 + 40 + -0.1 + 0.7Y

Combine like terms: 46 + 0.2 = 46.2
Y = 46.2 + 220 + 40 + -0.1 + 0.7Y

Combine like terms: 46.2 + 220 = 266.2
Y = 266.2 + 40 + -0.1 + 0.7Y

Combine like terms: 266.2 + 40 = 306.2
Y = 306.2 + -0.1 + 0.7Y

Combine like terms: 306.2 + -0.1 = 306.1
Y = 306.1 + 0.7Y

Solving
Y = 306.1 + 0.7Y

Solving for variable 'Y'.

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

Add '-0.7Y' to each side of the equation.
Y + -0.7Y = 306.1 + 0.7Y + -0.7Y

Combine like terms: Y + -0.7Y = 0.3Y
0.3Y = 306.1 + 0.7Y + -0.7Y

Combine like terms: 0.7Y + -0.7Y = 0.0
0.3Y = 306.1 + 0.0
0.3Y = 306.1

Divide each side by '0.3'.
Y = 1020.333333

Simplifying
Y = 1020.333333

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