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Simplifying 0.12(y + -2) + 0.08 = 0.10y + -0.01(20) Reorder the terms: 0.12(-2 + y) + 0.08 = 0.10y + -0.01(20) (-2 * 0.12 + y * 0.12) + 0.08 = 0.10y + -0.01(20) (-0.24 + 0.12y) + 0.08 = 0.10y + -0.01(20) Reorder the terms: -0.24 + 0.08 + 0.12y = 0.10y + -0.01(20) Combine like terms: -0.24 + 0.08 = -0.16 -0.16 + 0.12y = 0.10y + -0.01(20) Multiply -0.01 * 20 -0.16 + 0.12y = 0.10y + -0.2 Reorder the terms: -0.16 + 0.12y = -0.2 + 0.10y Solving -0.16 + 0.12y = -0.2 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.16 + 0.12y + -0.10y = -0.2 + 0.10y + -0.10y Combine like terms: 0.12y + -0.10y = 0.02y -0.16 + 0.02y = -0.2 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.16 + 0.02y = -0.2 + 0.00 -0.16 + 0.02y = -0.2 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.02y = -0.2 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.02y = -0.2 + 0.16 0.02y = -0.2 + 0.16 Combine like terms: -0.2 + 0.16 = -0.04 0.02y = -0.04 Divide each side by '0.02'. y = -2 Simplifying y = -2
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