y=50+.8*(y-[10+.25y])+100

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Solution for y=50+.8*(y-[10+.25y])+100 equation: 


Simplifying
y = 50 + 0.8(y + -1[10 + 0.25y]) + 100
y = 50 + 0.8(y + [10 * -1 + 0.25y * -1]) + 100
y = 50 + 0.8(y + [-10 + -0.25y]) + 100

Reorder the terms:
y = 50 + 0.8(-10 + y + -0.25y) + 100

Combine like terms: y + -0.25y = 0.75y
y = 50 + 0.8(-10 + 0.75y) + 100
y = 50 + (-10 * 0.8 + 0.75y * 0.8) + 100
y = 50 + (-8 + 0.6y) + 100

Reorder the terms:
y = 50 + -8 + 100 + 0.6y

Combine like terms: 50 + -8 = 42
y = 42 + 100 + 0.6y

Combine like terms: 42 + 100 = 142
y = 142 + 0.6y

Solving
y = 142 + 0.6y

Solving for variable 'y'.

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

Add '-0.6y' to each side of the equation.
y + -0.6y = 142 + 0.6y + -0.6y

Combine like terms: y + -0.6y = 0.4y
0.4y = 142 + 0.6y + -0.6y

Combine like terms: 0.6y + -0.6y = 0.0
0.4y = 142 + 0.0
0.4y = 142

Divide each side by '0.4'.
y = 355

Simplifying
y = 355

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