y=150+.9(y-200)+100+150

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Solution for y=150+.9(y-200)+100+150 equation: 


Simplifying
y = 150 + 0.9(y + -200) + 100 + 150

Reorder the terms:
y = 150 + 0.9(-200 + y) + 100 + 150
y = 150 + (-200 * 0.9 + y * 0.9) + 100 + 150
y = 150 + (-180 + 0.9y) + 100 + 150

Reorder the terms:
y = 150 + -180 + 100 + 150 + 0.9y

Combine like terms: 150 + -180 = -30
y = -30 + 100 + 150 + 0.9y

Combine like terms: -30 + 100 = 70
y = 70 + 150 + 0.9y

Combine like terms: 70 + 150 = 220
y = 220 + 0.9y

Solving
y = 220 + 0.9y

Solving for variable 'y'.

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

Add '-0.9y' to each side of the equation.
y + -0.9y = 220 + 0.9y + -0.9y

Combine like terms: y + -0.9y = 0.1y
0.1y = 220 + 0.9y + -0.9y

Combine like terms: 0.9y + -0.9y = 0.0
0.1y = 220 + 0.0
0.1y = 220

Divide each side by '0.1'.
y = 2200

Simplifying
y = 2200

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