Y=1.6+.8Y+1.5-.35r+3+1-.15r

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Solution for Y=1.6+.8Y+1.5-.35r+3+1-.15r equation:


Simplifying
Y = 1.6 + 0.8Y + 1.5 + -0.35r + 3 + 1 + -0.15r

Reorder the terms:
Y = 1.6 + 1.5 + 3 + 1 + 0.8Y + -0.35r + -0.15r

Combine like terms: 1.6 + 1.5 = 3.1
Y = 3.1 + 3 + 1 + 0.8Y + -0.35r + -0.15r

Combine like terms: 3.1 + 3 = 6.1
Y = 6.1 + 1 + 0.8Y + -0.35r + -0.15r

Combine like terms: 6.1 + 1 = 7.1
Y = 7.1 + 0.8Y + -0.35r + -0.15r

Combine like terms: -0.35r + -0.15r = -0.5r
Y = 7.1 + 0.8Y + -0.5r

Solving
Y = 7.1 + 0.8Y + -0.5r

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-0.8Y' to each side of the equation.
Y + -0.8Y = 7.1 + 0.8Y + -0.8Y + -0.5r

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 7.1 + 0.8Y + -0.8Y + -0.5r

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 7.1 + 0.0 + -0.5r
0.2Y = 7.1 + -0.5r

Divide each side by '0.2'.
Y = 35.5 + -2.5r

Simplifying
Y = 35.5 + -2.5r

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