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Simplifying 0.8(y + 4) + 0.2 + -5 = 0 Reorder the terms: 0.8(4 + y) + 0.2 + -5 = 0 (4 * 0.8 + y * 0.8) + 0.2 + -5 = 0 (3.2 + 0.8y) + 0.2 + -5 = 0 Reorder the terms: 3.2 + 0.2 + -5 + 0.8y = 0 Combine like terms: 3.2 + 0.2 = 3.4 3.4 + -5 + 0.8y = 0 Combine like terms: 3.4 + -5 = -1.6 -1.6 + 0.8y = 0 Solving -1.6 + 0.8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.8y = 0 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.8y = 0 + 1.6 0.8y = 0 + 1.6 Combine like terms: 0 + 1.6 = 1.6 0.8y = 1.6 Divide each side by '0.8'. y = 2 Simplifying y = 2
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