y=(100+.8y)+200+100

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Solution for y=(100+.8y)+200+100 equation:


Simplifying
y = (100 + 0.8y) + 200 + 100

Remove parenthesis around (100 + 0.8y)
y = 100 + 0.8y + 200 + 100

Reorder the terms:
y = 100 + 200 + 100 + 0.8y

Combine like terms: 100 + 200 = 300
y = 300 + 100 + 0.8y

Combine like terms: 300 + 100 = 400
y = 400 + 0.8y

Solving
y = 400 + 0.8y

Solving for variable 'y'.

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

Add '-0.8y' to each side of the equation.
y + -0.8y = 400 + 0.8y + -0.8y

Combine like terms: y + -0.8y = 0.2y
0.2y = 400 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
0.2y = 400 + 0.0
0.2y = 400

Divide each side by '0.2'.
y = 2000

Simplifying
y = 2000

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