Y=1+0.75Y+1-0.3r+3.5-1-0.1r

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Solution for Y=1+0.75Y+1-0.3r+3.5-1-0.1r equation: 


Simplifying
Y = 1 + 0.75Y + 1 + -0.3r + 3.5 + -1 + -0.1r

Reorder the terms:
Y = 1 + 1 + 3.5 + -1 + 0.75Y + -0.3r + -0.1r

Combine like terms: 1 + 1 = 2
Y = 2 + 3.5 + -1 + 0.75Y + -0.3r + -0.1r

Combine like terms: 2 + 3.5 = 5.5
Y = 5.5 + -1 + 0.75Y + -0.3r + -0.1r

Combine like terms: 5.5 + -1 = 4.5
Y = 4.5 + 0.75Y + -0.3r + -0.1r

Combine like terms: -0.3r + -0.1r = -0.4r
Y = 4.5 + 0.75Y + -0.4r

Solving
Y = 4.5 + 0.75Y + -0.4r

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 = 4.5 + 0.75Y + -0.75Y + -0.4r

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 4.5 + 0.75Y + -0.75Y + -0.4r

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 4.5 + 0.00 + -0.4r
0.25Y = 4.5 + -0.4r

Divide each side by '0.25'.
Y = 18 + -1.6r

Simplifying
Y = 18 + -1.6r

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