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Simplifying 0.18(y + -6) + 0.06 = 0.16y + -0.03(40) Reorder the terms: 0.18(-6 + y) + 0.06 = 0.16y + -0.03(40) (-6 * 0.18 + y * 0.18) + 0.06 = 0.16y + -0.03(40) (-1.08 + 0.18y) + 0.06 = 0.16y + -0.03(40) Reorder the terms: -1.08 + 0.06 + 0.18y = 0.16y + -0.03(40) Combine like terms: -1.08 + 0.06 = -1.02 -1.02 + 0.18y = 0.16y + -0.03(40) Multiply -0.03 * 40 -1.02 + 0.18y = 0.16y + -1.2 Reorder the terms: -1.02 + 0.18y = -1.2 + 0.16y Solving -1.02 + 0.18y = -1.2 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -1.02 + 0.18y + -0.16y = -1.2 + 0.16y + -0.16y Combine like terms: 0.18y + -0.16y = 0.02y -1.02 + 0.02y = -1.2 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -1.02 + 0.02y = -1.2 + 0.00 -1.02 + 0.02y = -1.2 Add '1.02' to each side of the equation. -1.02 + 1.02 + 0.02y = -1.2 + 1.02 Combine like terms: -1.02 + 1.02 = 0.00 0.00 + 0.02y = -1.2 + 1.02 0.02y = -1.2 + 1.02 Combine like terms: -1.2 + 1.02 = -0.18 0.02y = -0.18 Divide each side by '0.02'. y = -9 Simplifying y = -9
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