y=[100+.75(y-100)]+100+100

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Solution for y=[100+.75(y-100)]+100+100 equation: 


Simplifying
y = [100 + 0.75(y + -100)] + 100 + 100

Reorder the terms:
y = [100 + 0.75(-100 + y)] + 100 + 100
y = [100 + (-100 * 0.75 + y * 0.75)] + 100 + 100
y = [100 + (-75 + 0.75y)] + 100 + 100

Combine like terms: 100 + -75 = 25
y = [25 + 0.75y] + 100 + 100

Remove brackets around [25 + 0.75y]
y = 25 + 0.75y + 100 + 100

Reorder the terms:
y = 25 + 100 + 100 + 0.75y

Combine like terms: 25 + 100 = 125
y = 125 + 100 + 0.75y

Combine like terms: 125 + 100 = 225
y = 225 + 0.75y

Solving
y = 225 + 0.75y

Solving for variable 'y'.

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

Add '-0.75y' to each side of the equation.
y + -0.75y = 225 + 0.75y + -0.75y

Combine like terms: y + -0.75y = 0.25y
0.25y = 225 + 0.75y + -0.75y

Combine like terms: 0.75y + -0.75y = 0.00
0.25y = 225 + 0.00
0.25y = 225

Divide each side by '0.25'.
y = 900

Simplifying
y = 900

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