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Simplifying y + 4.2 = 0.8(y + 3) Reorder the terms: 4.2 + y = 0.8(y + 3) Reorder the terms: 4.2 + y = 0.8(3 + y) 4.2 + y = (3 * 0.8 + y * 0.8) 4.2 + y = (2.4 + 0.8y) Solving 4.2 + y = 2.4 + 0.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8y' to each side of the equation. 4.2 + y + -0.8y = 2.4 + 0.8y + -0.8y Combine like terms: y + -0.8y = 0.2y 4.2 + 0.2y = 2.4 + 0.8y + -0.8y Combine like terms: 0.8y + -0.8y = 0.0 4.2 + 0.2y = 2.4 + 0.0 4.2 + 0.2y = 2.4 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.2y = 2.4 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.2y = 2.4 + -4.2 0.2y = 2.4 + -4.2 Combine like terms: 2.4 + -4.2 = -1.8 0.2y = -1.8 Divide each side by '0.2'. y = -9 Simplifying y = -9
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