y=100+.9y+100

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Solution for y=100+.9y+100 equation:


Simplifying
y = 100 + 0.9y + 100

Reorder the terms:
y = 100 + 100 + 0.9y

Combine like terms: 100 + 100 = 200
y = 200 + 0.9y

Solving
y = 200 + 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 = 200 + 0.9y + -0.9y

Combine like terms: y + -0.9y = 0.1y
0.1y = 200 + 0.9y + -0.9y

Combine like terms: 0.9y + -0.9y = 0.0
0.1y = 200 + 0.0
0.1y = 200

Divide each side by '0.1'.
y = 2000

Simplifying
y = 2000

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