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Simplifying 0.04(y + 10) + -0.06(y + 2) = 2 Reorder the terms: 0.04(10 + y) + -0.06(y + 2) = 2 (10 * 0.04 + y * 0.04) + -0.06(y + 2) = 2 (0.4 + 0.04y) + -0.06(y + 2) = 2 Reorder the terms: 0.4 + 0.04y + -0.06(2 + y) = 2 0.4 + 0.04y + (2 * -0.06 + y * -0.06) = 2 0.4 + 0.04y + (-0.12 + -0.06y) = 2 Reorder the terms: 0.4 + -0.12 + 0.04y + -0.06y = 2 Combine like terms: 0.4 + -0.12 = 0.28 0.28 + 0.04y + -0.06y = 2 Combine like terms: 0.04y + -0.06y = -0.02y 0.28 + -0.02y = 2 Solving 0.28 + -0.02y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.28' to each side of the equation. 0.28 + -0.28 + -0.02y = 2 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + -0.02y = 2 + -0.28 -0.02y = 2 + -0.28 Combine like terms: 2 + -0.28 = 1.72 -0.02y = 1.72 Divide each side by '-0.02'. y = -86 Simplifying y = -86
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