Y=200+.08(Y-100)+200+0.1(Y)+100+100-100-0.15(Y)

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Solution for Y=200+.08(Y-100)+200+0.1(Y)+100+100-100-0.15(Y) equation: 


Simplifying
Y = 200 + 0.08(Y + -100) + 200 + 0.1(Y) + 100 + 100 + -100 + -0.15(Y)

Reorder the terms:
Y = 200 + 0.08(-100 + Y) + 200 + 0.1(Y) + 100 + 100 + -100 + -0.15(Y)
Y = 200 + (-100 * 0.08 + Y * 0.08) + 200 + 0.1(Y) + 100 + 100 + -100 + -0.15(Y)
Y = 200 + (-8 + 0.08Y) + 200 + 0.1(Y) + 100 + 100 + -100 + -0.15(Y)

Reorder the terms:
Y = 200 + -8 + 200 + 100 + 100 + -100 + 0.08Y + 0.1Y + -0.15Y

Combine like terms: 200 + -8 = 192
Y = 192 + 200 + 100 + 100 + -100 + 0.08Y + 0.1Y + -0.15Y

Combine like terms: 192 + 200 = 392
Y = 392 + 100 + 100 + -100 + 0.08Y + 0.1Y + -0.15Y

Combine like terms: 392 + 100 = 492
Y = 492 + 100 + -100 + 0.08Y + 0.1Y + -0.15Y

Combine like terms: 492 + 100 = 592
Y = 592 + -100 + 0.08Y + 0.1Y + -0.15Y

Combine like terms: 592 + -100 = 492
Y = 492 + 0.08Y + 0.1Y + -0.15Y

Combine like terms: 0.08Y + 0.1Y = 0.18Y
Y = 492 + 0.18Y + -0.15Y

Combine like terms: 0.18Y + -0.15Y = 0.03Y
Y = 492 + 0.03Y

Solving
Y = 492 + 0.03Y

Solving for variable 'Y'.

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

Add '-0.03Y' to each side of the equation.
Y + -0.03Y = 492 + 0.03Y + -0.03Y

Combine like terms: Y + -0.03Y = 0.97Y
0.97Y = 492 + 0.03Y + -0.03Y

Combine like terms: 0.03Y + -0.03Y = 0.00
0.97Y = 492 + 0.00
0.97Y = 492

Divide each side by '0.97'.
Y = 507.2164948

Simplifying
Y = 507.2164948

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