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Simplifying 0.12(y + -8) + 0.18y = 0.06y + -0.03(20) Reorder the terms: 0.12(-8 + y) + 0.18y = 0.06y + -0.03(20) (-8 * 0.12 + y * 0.12) + 0.18y = 0.06y + -0.03(20) (-0.96 + 0.12y) + 0.18y = 0.06y + -0.03(20) Combine like terms: 0.12y + 0.18y = 0.3y -0.96 + 0.3y = 0.06y + -0.03(20) Multiply -0.03 * 20 -0.96 + 0.3y = 0.06y + -0.6 Reorder the terms: -0.96 + 0.3y = -0.6 + 0.06y Solving -0.96 + 0.3y = -0.6 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.96 + 0.3y + -0.06y = -0.6 + 0.06y + -0.06y Combine like terms: 0.3y + -0.06y = 0.24y -0.96 + 0.24y = -0.6 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.96 + 0.24y = -0.6 + 0.00 -0.96 + 0.24y = -0.6 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.24y = -0.6 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.24y = -0.6 + 0.96 0.24y = -0.6 + 0.96 Combine like terms: -0.6 + 0.96 = 0.36 0.24y = 0.36 Divide each side by '0.24'. y = 1.5 Simplifying y = 1.5
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