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Simplifying 0.20(y + -1) + 0.10y = 0.12y + -2 Reorder the terms: 0.20(-1 + y) + 0.10y = 0.12y + -2 (-1 * 0.20 + y * 0.20) + 0.10y = 0.12y + -2 (-0.2 + 0.20y) + 0.10y = 0.12y + -2 Combine like terms: 0.20y + 0.10y = 0.3y -0.2 + 0.3y = 0.12y + -2 Reorder the terms: -0.2 + 0.3y = -2 + 0.12y Solving -0.2 + 0.3y = -2 + 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. -0.2 + 0.3y + -0.12y = -2 + 0.12y + -0.12y Combine like terms: 0.3y + -0.12y = 0.18y -0.2 + 0.18y = -2 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.2 + 0.18y = -2 + 0.00 -0.2 + 0.18y = -2 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.18y = -2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.18y = -2 + 0.2 0.18y = -2 + 0.2 Combine like terms: -2 + 0.2 = -1.8 0.18y = -1.8 Divide each side by '0.18'. y = -10 Simplifying y = -10
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