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Simplifying (0.8y) + 4 = 5 + -1(0.2y) Reorder the terms: 4 + (0.8y) = 5 + -1(0.2y) Remove parenthesis around (0.2y) 4 + (0.8y) = 5 + -1 * 0.2y Multiply -1 * 0.2 4 + (0.8y) = 5 + -0.2y Solving 4 + (0.8y) = 5 + -0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.2y' to each side of the equation. 4 + (0.8y) + 0.2y = 5 + -0.2y + 0.2y Combine like terms: (0.8y) + 0.2y = 1y 4 + 1y = 5 + -0.2y + 0.2y Combine like terms: -0.2y + 0.2y = 0.0 4 + 1y = 5 + 0.0 4 + 1y = 5 Add '-4' to each side of the equation. 4 + -4 + 1y = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 5 + -4 1y = 5 + -4 Combine like terms: 5 + -4 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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