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Simplifying 0.20(y + -7) + 0.18y = 0.06y + -0.07(60) Reorder the terms: 0.20(-7 + y) + 0.18y = 0.06y + -0.07(60) (-7 * 0.20 + y * 0.20) + 0.18y = 0.06y + -0.07(60) (-1.4 + 0.20y) + 0.18y = 0.06y + -0.07(60) Combine like terms: 0.20y + 0.18y = 0.38y -1.4 + 0.38y = 0.06y + -0.07(60) Multiply -0.07 * 60 -1.4 + 0.38y = 0.06y + -4.2 Reorder the terms: -1.4 + 0.38y = -4.2 + 0.06y Solving -1.4 + 0.38y = -4.2 + 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. -1.4 + 0.38y + -0.06y = -4.2 + 0.06y + -0.06y Combine like terms: 0.38y + -0.06y = 0.32y -1.4 + 0.32y = -4.2 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.4 + 0.32y = -4.2 + 0.00 -1.4 + 0.32y = -4.2 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.32y = -4.2 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.32y = -4.2 + 1.4 0.32y = -4.2 + 1.4 Combine like terms: -4.2 + 1.4 = -2.8 0.32y = -2.8 Divide each side by '0.32'. y = -8.75 Simplifying y = -8.75
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