Y=400+0.75Y-10r

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Solution for Y=400+0.75Y-10r equation: 


Simplifying
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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