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Simplifying 0.02(y + 4) + 0.06y = 0.12y + -0.1 Reorder the terms: 0.02(4 + y) + 0.06y = 0.12y + -0.1 (4 * 0.02 + y * 0.02) + 0.06y = 0.12y + -0.1 (0.08 + 0.02y) + 0.06y = 0.12y + -0.1 Combine like terms: 0.02y + 0.06y = 0.08y 0.08 + 0.08y = 0.12y + -0.1 Reorder the terms: 0.08 + 0.08y = -0.1 + 0.12y Solving 0.08 + 0.08y = -0.1 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. 0.08 + 0.08y + -0.12y = -0.1 + 0.12y + -0.12y Combine like terms: 0.08y + -0.12y = -0.04y 0.08 + -0.04y = -0.1 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 0.08 + -0.04y = -0.1 + 0.00 0.08 + -0.04y = -0.1 Add '-0.08' to each side of the equation. 0.08 + -0.08 + -0.04y = -0.1 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -0.04y = -0.1 + -0.08 -0.04y = -0.1 + -0.08 Combine like terms: -0.1 + -0.08 = -0.18 -0.04y = -0.18 Divide each side by '-0.04'. y = 4.5 Simplifying y = 4.5
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