y=[100+.75(y-150)]+100+100

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Solution for y=[100+.75(y-150)]+100+100 equation: 


Simplifying
y = [100 + 0.75(y + -150)] + 100 + 100

Reorder the terms:
y = [100 + 0.75(-150 + y)] + 100 + 100
y = [100 + (-150 * 0.75 + y * 0.75)] + 100 + 100
y = [100 + (-112.5 + 0.75y)] + 100 + 100

Combine like terms: 100 + -112.5 = -12.5
y = [-12.5 + 0.75y] + 100 + 100

Remove brackets around [-12.5 + 0.75y]
y = -12.5 + 0.75y + 100 + 100

Reorder the terms:
y = -12.5 + 100 + 100 + 0.75y

Combine like terms: -12.5 + 100 = 87.5
y = 87.5 + 100 + 0.75y

Combine like terms: 87.5 + 100 = 187.5
y = 187.5 + 0.75y

Solving
y = 187.5 + 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 = 187.5 + 0.75y + -0.75y

Combine like terms: y + -0.75y = 0.25y
0.25y = 187.5 + 0.75y + -0.75y

Combine like terms: 0.75y + -0.75y = 0.00
0.25y = 187.5 + 0.00
0.25y = 187.5

Divide each side by '0.25'.
y = 750

Simplifying
y = 750

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