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

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


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

Reorder the terms:
y = (100 + 0.8(-100 + y)) + 100 + 200
y = (100 + (-100 * 0.8 + y * 0.8)) + 100 + 200
y = (100 + (-80 + 0.8y)) + 100 + 200

Combine like terms: 100 + -80 = 20
y = (20 + 0.8y) + 100 + 200

Remove parenthesis around (20 + 0.8y)
y = 20 + 0.8y + 100 + 200

Reorder the terms:
y = 20 + 100 + 200 + 0.8y

Combine like terms: 20 + 100 = 120
y = 120 + 200 + 0.8y

Combine like terms: 120 + 200 = 320
y = 320 + 0.8y

Solving
y = 320 + 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 = 320 + 0.8y + -0.8y

Combine like terms: y + -0.8y = 0.2y
0.2y = 320 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
0.2y = 320 + 0.0
0.2y = 320

Divide each side by '0.2'.
y = 1600

Simplifying
y = 1600

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