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Simplifying 0.12(y + -3) + 0.18y = 0.02y + -0.03(40) Reorder the terms: 0.12(-3 + y) + 0.18y = 0.02y + -0.03(40) (-3 * 0.12 + y * 0.12) + 0.18y = 0.02y + -0.03(40) (-0.36 + 0.12y) + 0.18y = 0.02y + -0.03(40) Combine like terms: 0.12y + 0.18y = 0.3y -0.36 + 0.3y = 0.02y + -0.03(40) Multiply -0.03 * 40 -0.36 + 0.3y = 0.02y + -1.2 Reorder the terms: -0.36 + 0.3y = -1.2 + 0.02y Solving -0.36 + 0.3y = -1.2 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.36 + 0.3y + -0.02y = -1.2 + 0.02y + -0.02y Combine like terms: 0.3y + -0.02y = 0.28y -0.36 + 0.28y = -1.2 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.36 + 0.28y = -1.2 + 0.00 -0.36 + 0.28y = -1.2 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.28y = -1.2 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.28y = -1.2 + 0.36 0.28y = -1.2 + 0.36 Combine like terms: -1.2 + 0.36 = -0.84 0.28y = -0.84 Divide each side by '0.28'. y = -3 Simplifying y = -3
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