Y=125+0.75(Y-100)+200-10r+150

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Solution for Y=125+0.75(Y-100)+200-10r+150 equation:


Simplifying
Y = 125 + 0.75(Y + -100) + 200 + -10r + 150

Reorder the terms:
Y = 125 + 0.75(-100 + Y) + 200 + -10r + 150
Y = 125 + (-100 * 0.75 + Y * 0.75) + 200 + -10r + 150
Y = 125 + (-75 + 0.75Y) + 200 + -10r + 150

Reorder the terms:
Y = 125 + -75 + 200 + 150 + 0.75Y + -10r

Combine like terms: 125 + -75 = 50
Y = 50 + 200 + 150 + 0.75Y + -10r

Combine like terms: 50 + 200 = 250
Y = 250 + 150 + 0.75Y + -10r

Combine like terms: 250 + 150 = 400
Y = 400 + 0.75Y + -10r

Solving
Y = 400 + 0.75Y + -10r

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 = 400 + 0.75Y + -0.75Y + -10r

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 400 + 0.75Y + -0.75Y + -10r

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 400 + 0.00 + -10r
0.25Y = 400 + -10r

Divide each side by '0.25'.
Y = 1600 + -40r

Simplifying
Y = 1600 + -40r

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