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Simplifying 1.3(3y + 10) = 9.8 + -0.4y + 9.7 + -0.9y Reorder the terms: 1.3(10 + 3y) = 9.8 + -0.4y + 9.7 + -0.9y (10 * 1.3 + 3y * 1.3) = 9.8 + -0.4y + 9.7 + -0.9y (13 + 3.9y) = 9.8 + -0.4y + 9.7 + -0.9y Reorder the terms: 13 + 3.9y = 9.8 + 9.7 + -0.4y + -0.9y Combine like terms: 9.8 + 9.7 = 19.5 13 + 3.9y = 19.5 + -0.4y + -0.9y Combine like terms: -0.4y + -0.9y = -1.3y 13 + 3.9y = 19.5 + -1.3y Solving 13 + 3.9y = 19.5 + -1.3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.3y' to each side of the equation. 13 + 3.9y + 1.3y = 19.5 + -1.3y + 1.3y Combine like terms: 3.9y + 1.3y = 5.2y 13 + 5.2y = 19.5 + -1.3y + 1.3y Combine like terms: -1.3y + 1.3y = 0.0 13 + 5.2y = 19.5 + 0.0 13 + 5.2y = 19.5 Add '-13' to each side of the equation. 13 + -13 + 5.2y = 19.5 + -13 Combine like terms: 13 + -13 = 0 0 + 5.2y = 19.5 + -13 5.2y = 19.5 + -13 Combine like terms: 19.5 + -13 = 6.5 5.2y = 6.5 Divide each side by '5.2'. y = 1.25 Simplifying y = 1.25
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