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Simplifying 5.1y + 3.6 = 8.4(y + 0.8) Reorder the terms: 3.6 + 5.1y = 8.4(y + 0.8) Reorder the terms: 3.6 + 5.1y = 8.4(0.8 + y) 3.6 + 5.1y = (0.8 * 8.4 + y * 8.4) 3.6 + 5.1y = (6.72 + 8.4y) Solving 3.6 + 5.1y = 6.72 + 8.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8.4y' to each side of the equation. 3.6 + 5.1y + -8.4y = 6.72 + 8.4y + -8.4y Combine like terms: 5.1y + -8.4y = -3.3y 3.6 + -3.3y = 6.72 + 8.4y + -8.4y Combine like terms: 8.4y + -8.4y = 0.0 3.6 + -3.3y = 6.72 + 0.0 3.6 + -3.3y = 6.72 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -3.3y = 6.72 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -3.3y = 6.72 + -3.6 -3.3y = 6.72 + -3.6 Combine like terms: 6.72 + -3.6 = 3.12 -3.3y = 3.12 Divide each side by '-3.3'. y = -0.9454545455 Simplifying y = -0.9454545455
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