Y=90+(0.7Y)+100+230

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Solution for Y=90+(0.7Y)+100+230 equation: 


Simplifying
Y = 90 + (0.7Y) + 100 + 230

Reorder the terms:
Y = 90 + 100 + 230 + (0.7Y)

Combine like terms: 90 + 100 = 190
Y = 190 + 230 + (0.7Y)

Combine like terms: 190 + 230 = 420
Y = 420 + (0.7Y)

Solving
Y = 420 + (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) = 420 + (0.7Y) + (-0.7Y)

Combine like terms: Y + (-0.7Y) = 0.3Y
0.3Y = 420 + (0.7Y) + (-0.7Y)

Combine like terms: (0.7Y) + (-0.7Y) = 0.0
0.3Y = 420 + 0.0
0.3Y = 420

Divide each side by '0.3'.
Y = 1400

Simplifying
Y = 1400

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