y=150+.75(y-100)+100+100-r

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


Simplifying
y = 150 + 0.75(y + -100) + 100 + 100 + -1r

Reorder the terms:
y = 150 + 0.75(-100 + y) + 100 + 100 + -1r
y = 150 + (-100 * 0.75 + y * 0.75) + 100 + 100 + -1r
y = 150 + (-75 + 0.75y) + 100 + 100 + -1r

Reorder the terms:
y = 150 + -75 + 100 + 100 + -1r + 0.75y

Combine like terms: 150 + -75 = 75
y = 75 + 100 + 100 + -1r + 0.75y

Combine like terms: 75 + 100 = 175
y = 175 + 100 + -1r + 0.75y

Combine like terms: 175 + 100 = 275
y = 275 + -1r + 0.75y

Solving
y = 275 + -1r + 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 + -1r + 0.75y + -0.75y

Combine like terms: y + -0.75y = 0.25y
0.25y = 275 + -1r + 0.75y + -0.75y

Combine like terms: 0.75y + -0.75y = 0.00
0.25y = 275 + -1r + 0.00
0.25y = 275 + -1r

Divide each side by '0.25'.
y = 1100 + -4r

Simplifying
y = 1100 + -4r

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