y=(100+0.8(y-0.2y))+200+100

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Solution for y=(100+0.8(y-0.2y))+200+100 equation: 


Simplifying
y = (100 + 0.8(y + -0.2y)) + 200 + 100

Combine like terms: y + -0.2y = 0.8y
y = (100 + 0.8(0.8y)) + 200 + 100

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

Multiply 0.8 * 0.8
y = (100 + 0.64y) + 200 + 100

Remove parenthesis around (100 + 0.64y)
y = 100 + 0.64y + 200 + 100

Reorder the terms:
y = 100 + 200 + 100 + 0.64y

Combine like terms: 100 + 200 = 300
y = 300 + 100 + 0.64y

Combine like terms: 300 + 100 = 400
y = 400 + 0.64y

Solving
y = 400 + 0.64y

Solving for variable 'y'.

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

Add '-0.64y' to each side of the equation.
y + -0.64y = 400 + 0.64y + -0.64y

Combine like terms: y + -0.64y = 0.36y
0.36y = 400 + 0.64y + -0.64y

Combine like terms: 0.64y + -0.64y = 0.00
0.36y = 400 + 0.00
0.36y = 400

Divide each side by '0.36'.
y = 1111.111111

Simplifying
y = 1111.111111

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