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Simplifying 0.18(y + -9) + 0.20y = 0.06y + -4.5 Reorder the terms: 0.18(-9 + y) + 0.20y = 0.06y + -4.5 (-9 * 0.18 + y * 0.18) + 0.20y = 0.06y + -4.5 (-1.62 + 0.18y) + 0.20y = 0.06y + -4.5 Combine like terms: 0.18y + 0.20y = 0.38y -1.62 + 0.38y = 0.06y + -4.5 Reorder the terms: -1.62 + 0.38y = -4.5 + 0.06y Solving -1.62 + 0.38y = -4.5 + 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. -1.62 + 0.38y + -0.06y = -4.5 + 0.06y + -0.06y Combine like terms: 0.38y + -0.06y = 0.32y -1.62 + 0.32y = -4.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.62 + 0.32y = -4.5 + 0.00 -1.62 + 0.32y = -4.5 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.32y = -4.5 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.32y = -4.5 + 1.62 0.32y = -4.5 + 1.62 Combine like terms: -4.5 + 1.62 = -2.88 0.32y = -2.88 Divide each side by '0.32'. y = -9 Simplifying y = -9
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