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Simplifying y = 1 + 0.75y + 1 + 0.3r + 3.5 + (-1.0 + -0.1r) Remove parenthesis around (-1.0 + -0.1r) y = 1 + 0.75y + 1 + 0.3r + 3.5 + -1.0 + -0.1r Reorder the terms: y = 1 + 1 + 3.5 + -1.0 + 0.3r + -0.1r + 0.75y Combine like terms: 1 + 1 = 2 y = 2 + 3.5 + -1.0 + 0.3r + -0.1r + 0.75y Combine like terms: 2 + 3.5 = 5.5 y = 5.5 + -1.0 + 0.3r + -0.1r + 0.75y Combine like terms: 5.5 + -1.0 = 4.5 y = 4.5 + 0.3r + -0.1r + 0.75y Combine like terms: 0.3r + -0.1r = 0.2r y = 4.5 + 0.2r + 0.75y Solving y = 4.5 + 0.2r + 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 = 4.5 + 0.2r + 0.75y + -0.75y Combine like terms: y + -0.75y = 0.25y 0.25y = 4.5 + 0.2r + 0.75y + -0.75y Combine like terms: 0.75y + -0.75y = 0.00 0.25y = 4.5 + 0.2r + 0.00 0.25y = 4.5 + 0.2r Divide each side by '0.25'. y = 18 + 0.8r Simplifying y = 18 + 0.8r
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