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Simplifying 0.12(y + -1) + 0.02y = 0.04y + -0.01(40) Reorder the terms: 0.12(-1 + y) + 0.02y = 0.04y + -0.01(40) (-1 * 0.12 + y * 0.12) + 0.02y = 0.04y + -0.01(40) (-0.12 + 0.12y) + 0.02y = 0.04y + -0.01(40) Combine like terms: 0.12y + 0.02y = 0.14y -0.12 + 0.14y = 0.04y + -0.01(40) Multiply -0.01 * 40 -0.12 + 0.14y = 0.04y + -0.4 Reorder the terms: -0.12 + 0.14y = -0.4 + 0.04y Solving -0.12 + 0.14y = -0.4 + 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. -0.12 + 0.14y + -0.04y = -0.4 + 0.04y + -0.04y Combine like terms: 0.14y + -0.04y = 0.1y -0.12 + 0.1y = -0.4 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.12 + 0.1y = -0.4 + 0.00 -0.12 + 0.1y = -0.4 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.1y = -0.4 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.1y = -0.4 + 0.12 0.1y = -0.4 + 0.12 Combine like terms: -0.4 + 0.12 = -0.28 0.1y = -0.28 Divide each side by '0.1'. y = -2.8 Simplifying y = -2.8
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