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Simplifying 0.18(y + -7) + 0.06y = 0.16y + -0.05(30) Reorder the terms: 0.18(-7 + y) + 0.06y = 0.16y + -0.05(30) (-7 * 0.18 + y * 0.18) + 0.06y = 0.16y + -0.05(30) (-1.26 + 0.18y) + 0.06y = 0.16y + -0.05(30) Combine like terms: 0.18y + 0.06y = 0.24y -1.26 + 0.24y = 0.16y + -0.05(30) Multiply -0.05 * 30 -1.26 + 0.24y = 0.16y + -1.5 Reorder the terms: -1.26 + 0.24y = -1.5 + 0.16y Solving -1.26 + 0.24y = -1.5 + 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. -1.26 + 0.24y + -0.16y = -1.5 + 0.16y + -0.16y Combine like terms: 0.24y + -0.16y = 0.08y -1.26 + 0.08y = -1.5 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -1.26 + 0.08y = -1.5 + 0.00 -1.26 + 0.08y = -1.5 Add '1.26' to each side of the equation. -1.26 + 1.26 + 0.08y = -1.5 + 1.26 Combine like terms: -1.26 + 1.26 = 0.00 0.00 + 0.08y = -1.5 + 1.26 0.08y = -1.5 + 1.26 Combine like terms: -1.5 + 1.26 = -0.24 0.08y = -0.24 Divide each side by '0.08'. y = -3 Simplifying y = -3
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