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Simplifying 0.18(y + -8) + 0.08y = 0.06y + -0.09(30) Reorder the terms: 0.18(-8 + y) + 0.08y = 0.06y + -0.09(30) (-8 * 0.18 + y * 0.18) + 0.08y = 0.06y + -0.09(30) (-1.44 + 0.18y) + 0.08y = 0.06y + -0.09(30) Combine like terms: 0.18y + 0.08y = 0.26y -1.44 + 0.26y = 0.06y + -0.09(30) Multiply -0.09 * 30 -1.44 + 0.26y = 0.06y + -2.7 Reorder the terms: -1.44 + 0.26y = -2.7 + 0.06y Solving -1.44 + 0.26y = -2.7 + 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. -1.44 + 0.26y + -0.06y = -2.7 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -1.44 + 0.2y = -2.7 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.44 + 0.2y = -2.7 + 0.00 -1.44 + 0.2y = -2.7 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.2y = -2.7 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.2y = -2.7 + 1.44 0.2y = -2.7 + 1.44 Combine like terms: -2.7 + 1.44 = -1.26 0.2y = -1.26 Divide each side by '0.2'. y = -6.3 Simplifying y = -6.3
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