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Simplifying 0.75(y + 0.67) = 0.17(y + -0.2) Reorder the terms: 0.75(0.67 + y) = 0.17(y + -0.2) (0.67 * 0.75 + y * 0.75) = 0.17(y + -0.2) (0.5025 + 0.75y) = 0.17(y + -0.2) Reorder the terms: 0.5025 + 0.75y = 0.17(-0.2 + y) 0.5025 + 0.75y = (-0.2 * 0.17 + y * 0.17) 0.5025 + 0.75y = (-0.034 + 0.17y) Solving 0.5025 + 0.75y = -0.034 + 0.17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.17y' to each side of the equation. 0.5025 + 0.75y + -0.17y = -0.034 + 0.17y + -0.17y Combine like terms: 0.75y + -0.17y = 0.58y 0.5025 + 0.58y = -0.034 + 0.17y + -0.17y Combine like terms: 0.17y + -0.17y = 0.00 0.5025 + 0.58y = -0.034 + 0.00 0.5025 + 0.58y = -0.034 Add '-0.5025' to each side of the equation. 0.5025 + -0.5025 + 0.58y = -0.034 + -0.5025 Combine like terms: 0.5025 + -0.5025 = 0.0000 0.0000 + 0.58y = -0.034 + -0.5025 0.58y = -0.034 + -0.5025 Combine like terms: -0.034 + -0.5025 = -0.5365 0.58y = -0.5365 Divide each side by '0.58'. y = -0.925 Simplifying y = -0.925
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