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Simplifying 0.10y + -0.08 + 0.02y = 0.04y + -0.01(10) Reorder the terms: -0.08 + 0.10y + 0.02y = 0.04y + -0.01(10) Combine like terms: 0.10y + 0.02y = 0.12y -0.08 + 0.12y = 0.04y + -0.01(10) Multiply -0.01 * 10 -0.08 + 0.12y = 0.04y + -0.1 Reorder the terms: -0.08 + 0.12y = -0.1 + 0.04y Solving -0.08 + 0.12y = -0.1 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.08 + 0.12y + -0.04y = -0.1 + 0.04y + -0.04y Combine like terms: 0.12y + -0.04y = 0.08y -0.08 + 0.08y = -0.1 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.08 + 0.08y = -0.1 + 0.00 -0.08 + 0.08y = -0.1 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.08y = -0.1 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.08y = -0.1 + 0.08 0.08y = -0.1 + 0.08 Combine like terms: -0.1 + 0.08 = -0.02 0.08y = -0.02 Divide each side by '0.08'. y = -0.25 Simplifying y = -0.25
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