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Simplifying 1.8(y + 6) + -1(6.5 + 0.8y) = -5 + 3 Reorder the terms: 1.8(6 + y) + -1(6.5 + 0.8y) = -5 + 3 (6 * 1.8 + y * 1.8) + -1(6.5 + 0.8y) = -5 + 3 (10.8 + 1.8y) + -1(6.5 + 0.8y) = -5 + 3 10.8 + 1.8y + (6.5 * -1 + 0.8y * -1) = -5 + 3 10.8 + 1.8y + (-6.5 + -0.8y) = -5 + 3 Reorder the terms: 10.8 + -6.5 + 1.8y + -0.8y = -5 + 3 Combine like terms: 10.8 + -6.5 = 4.3 4.3 + 1.8y + -0.8y = -5 + 3 Combine like terms: 1.8y + -0.8y = 1y 4.3 + 1y = -5 + 3 Combine like terms: -5 + 3 = -2 4.3 + 1y = -2 Solving 4.3 + 1y = -2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4.3' to each side of the equation. 4.3 + -4.3 + 1y = -2 + -4.3 Combine like terms: 4.3 + -4.3 = 0.0 0.0 + 1y = -2 + -4.3 1y = -2 + -4.3 Combine like terms: -2 + -4.3 = -6.3 1y = -6.3 Divide each side by '1'. y = -6.3 Simplifying y = -6.3
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