y=[100+.75(y-300)]+[100]+[300]

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Solution for y=[100+.75(y-300)]+[100]+[300] equation: 


Simplifying
y = [100 + 0.75(y + -300)] + [100] + [300]

Reorder the terms:
y = [100 + 0.75(-300 + y)] + [100] + [300]
y = [100 + (-300 * 0.75 + y * 0.75)] + [100] + [300]
y = [100 + (-225 + 0.75y)] + [100] + [300]

Combine like terms: 100 + -225 = -125
y = [-125 + 0.75y] + [100] + [300]

Remove brackets around [-125 + 0.75y]
y = -125 + 0.75y + [100] + [300]
y = -125 + 0.75y + 100 + [300]
y = -125 + 0.75y + 100 + 300

Reorder the terms:
y = -125 + 100 + 300 + 0.75y

Combine like terms: -125 + 100 = -25
y = -25 + 300 + 0.75y

Combine like terms: -25 + 300 = 275
y = 275 + 0.75y

Solving
y = 275 + 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 = 275 + 0.75y + -0.75y

Combine like terms: y + -0.75y = 0.25y
0.25y = 275 + 0.75y + -0.75y

Combine like terms: 0.75y + -0.75y = 0.00
0.25y = 275 + 0.00
0.25y = 275

Divide each side by '0.25'.
y = 1100

Simplifying
y = 1100

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