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Simplifying 4(y + 2) = 1.3 + 3(y + 2.1) Reorder the terms: 4(2 + y) = 1.3 + 3(y + 2.1) (2 * 4 + y * 4) = 1.3 + 3(y + 2.1) (8 + 4y) = 1.3 + 3(y + 2.1) Reorder the terms: 8 + 4y = 1.3 + 3(2.1 + y) 8 + 4y = 1.3 + (2.1 * 3 + y * 3) 8 + 4y = 1.3 + (6.3 + 3y) Combine like terms: 1.3 + 6.3 = 7.6 8 + 4y = 7.6 + 3y Solving 8 + 4y = 7.6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 8 + 4y + -3y = 7.6 + 3y + -3y Combine like terms: 4y + -3y = 1y 8 + 1y = 7.6 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 1y = 7.6 + 0 8 + 1y = 7.6 Add '-8' to each side of the equation. 8 + -8 + 1y = 7.6 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 7.6 + -8 1y = 7.6 + -8 Combine like terms: 7.6 + -8 = -0.4 1y = -0.4 Divide each side by '1'. y = -0.4 Simplifying y = -0.4
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