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Simplifying 0.18(y + -4) + 0.06y = 0.16y + -0.03(30) Reorder the terms: 0.18(-4 + y) + 0.06y = 0.16y + -0.03(30) (-4 * 0.18 + y * 0.18) + 0.06y = 0.16y + -0.03(30) (-0.72 + 0.18y) + 0.06y = 0.16y + -0.03(30) Combine like terms: 0.18y + 0.06y = 0.24y -0.72 + 0.24y = 0.16y + -0.03(30) Multiply -0.03 * 30 -0.72 + 0.24y = 0.16y + -0.9 Reorder the terms: -0.72 + 0.24y = -0.9 + 0.16y Solving -0.72 + 0.24y = -0.9 + 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. -0.72 + 0.24y + -0.16y = -0.9 + 0.16y + -0.16y Combine like terms: 0.24y + -0.16y = 0.08y -0.72 + 0.08y = -0.9 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.72 + 0.08y = -0.9 + 0.00 -0.72 + 0.08y = -0.9 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.08y = -0.9 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.08y = -0.9 + 0.72 0.08y = -0.9 + 0.72 Combine like terms: -0.9 + 0.72 = -0.18 0.08y = -0.18 Divide each side by '0.08'. y = -2.25 Simplifying y = -2.25
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