y=50+.8(y-100)+100

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Solution for y=50+.8(y-100)+100 equation: 


Simplifying
y = 50 + 0.8(y + -100) + 100

Reorder the terms:
y = 50 + 0.8(-100 + y) + 100
y = 50 + (-100 * 0.8 + y * 0.8) + 100
y = 50 + (-80 + 0.8y) + 100

Reorder the terms:
y = 50 + -80 + 100 + 0.8y

Combine like terms: 50 + -80 = -30
y = -30 + 100 + 0.8y

Combine like terms: -30 + 100 = 70
y = 70 + 0.8y

Solving
y = 70 + 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 = 70 + 0.8y + -0.8y

Combine like terms: y + -0.8y = 0.2y
0.2y = 70 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
0.2y = 70 + 0.0
0.2y = 70

Divide each side by '0.2'.
y = 350

Simplifying
y = 350

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