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Simplifying 0.5(y + 2) + 0.3 = 2.1y + -1.9 Reorder the terms: 0.5(2 + y) + 0.3 = 2.1y + -1.9 (2 * 0.5 + y * 0.5) + 0.3 = 2.1y + -1.9 (1 + 0.5y) + 0.3 = 2.1y + -1.9 Reorder the terms: 1 + 0.3 + 0.5y = 2.1y + -1.9 Combine like terms: 1 + 0.3 = 1.3 1.3 + 0.5y = 2.1y + -1.9 Reorder the terms: 1.3 + 0.5y = -1.9 + 2.1y Solving 1.3 + 0.5y = -1.9 + 2.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.1y' to each side of the equation. 1.3 + 0.5y + -2.1y = -1.9 + 2.1y + -2.1y Combine like terms: 0.5y + -2.1y = -1.6y 1.3 + -1.6y = -1.9 + 2.1y + -2.1y Combine like terms: 2.1y + -2.1y = 0.0 1.3 + -1.6y = -1.9 + 0.0 1.3 + -1.6y = -1.9 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -1.6y = -1.9 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -1.6y = -1.9 + -1.3 -1.6y = -1.9 + -1.3 Combine like terms: -1.9 + -1.3 = -3.2 -1.6y = -3.2 Divide each side by '-1.6'. y = 2 Simplifying y = 2
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