y=(200+.90(y-250))+100+200

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Solution for y=(200+.90(y-250))+100+200 equation: 


Simplifying
y = (200 + 0.90(y + -250)) + 100 + 200

Reorder the terms:
y = (200 + 0.90(-250 + y)) + 100 + 200
y = (200 + (-250 * 0.90 + y * 0.90)) + 100 + 200
y = (200 + (-225 + 0.90y)) + 100 + 200

Combine like terms: 200 + -225 = -25
y = (-25 + 0.90y) + 100 + 200

Remove parenthesis around (-25 + 0.90y)
y = -25 + 0.90y + 100 + 200

Reorder the terms:
y = -25 + 100 + 200 + 0.90y

Combine like terms: -25 + 100 = 75
y = 75 + 200 + 0.90y

Combine like terms: 75 + 200 = 275
y = 275 + 0.90y

Solving
y = 275 + 0.90y

Solving for variable 'y'.

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

Add '-0.90y' to each side of the equation.
y + -0.90y = 275 + 0.90y + -0.90y

Combine like terms: y + -0.90y = 0.1y
0.1y = 275 + 0.90y + -0.90y

Combine like terms: 0.90y + -0.90y = 0.00
0.1y = 275 + 0.00
0.1y = 275

Divide each side by '0.1'.
y = 2750

Simplifying
y = 2750

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