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

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


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

Reorder the terms:
y = (100 + 0.8(-0.2 + y)) + 200 + 100
y = (100 + (-0.2 * 0.8 + y * 0.8)) + 200 + 100
y = (100 + (-0.16 + 0.8y)) + 200 + 100

Combine like terms: 100 + -0.16 = 99.84
y = (99.84 + 0.8y) + 200 + 100

Remove parenthesis around (99.84 + 0.8y)
y = 99.84 + 0.8y + 200 + 100

Reorder the terms:
y = 99.84 + 200 + 100 + 0.8y

Combine like terms: 99.84 + 200 = 299.84
y = 299.84 + 100 + 0.8y

Combine like terms: 299.84 + 100 = 399.84
y = 399.84 + 0.8y

Solving
y = 399.84 + 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 = 399.84 + 0.8y + -0.8y

Combine like terms: y + -0.8y = 0.2y
0.2y = 399.84 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
0.2y = 399.84 + 0.0
0.2y = 399.84

Divide each side by '0.2'.
y = 1999.2

Simplifying
y = 1999.2

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