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Simplifying 0.56 + -0.4(2.1y + 3) = 0.2(2y + 6.1) Reorder the terms: 0.56 + -0.4(3 + 2.1y) = 0.2(2y + 6.1) 0.56 + (3 * -0.4 + 2.1y * -0.4) = 0.2(2y + 6.1) 0.56 + (-1.2 + -0.84y) = 0.2(2y + 6.1) Combine like terms: 0.56 + -1.2 = -0.64 -0.64 + -0.84y = 0.2(2y + 6.1) Reorder the terms: -0.64 + -0.84y = 0.2(6.1 + 2y) -0.64 + -0.84y = (6.1 * 0.2 + 2y * 0.2) -0.64 + -0.84y = (1.22 + 0.4y) Solving -0.64 + -0.84y = 1.22 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. -0.64 + -0.84y + -0.4y = 1.22 + 0.4y + -0.4y Combine like terms: -0.84y + -0.4y = -1.24y -0.64 + -1.24y = 1.22 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 -0.64 + -1.24y = 1.22 + 0.0 -0.64 + -1.24y = 1.22 Add '0.64' to each side of the equation. -0.64 + 0.64 + -1.24y = 1.22 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + -1.24y = 1.22 + 0.64 -1.24y = 1.22 + 0.64 Combine like terms: 1.22 + 0.64 = 1.86 -1.24y = 1.86 Divide each side by '-1.24'. y = -1.5 Simplifying y = -1.5
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