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

Remove parenthesis around (90 + 0.7Y)
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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