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Simplifying 0.20(y + -3) + 0.18 = 0.14y + -2.7 Reorder the terms: 0.20(-3 + y) + 0.18 = 0.14y + -2.7 (-3 * 0.20 + y * 0.20) + 0.18 = 0.14y + -2.7 (-0.6 + 0.20y) + 0.18 = 0.14y + -2.7 Reorder the terms: -0.6 + 0.18 + 0.20y = 0.14y + -2.7 Combine like terms: -0.6 + 0.18 = -0.42 -0.42 + 0.20y = 0.14y + -2.7 Reorder the terms: -0.42 + 0.20y = -2.7 + 0.14y Solving -0.42 + 0.20y = -2.7 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.42 + 0.20y + -0.14y = -2.7 + 0.14y + -0.14y Combine like terms: 0.20y + -0.14y = 0.06y -0.42 + 0.06y = -2.7 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.42 + 0.06y = -2.7 + 0.00 -0.42 + 0.06y = -2.7 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.06y = -2.7 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.06y = -2.7 + 0.42 0.06y = -2.7 + 0.42 Combine like terms: -2.7 + 0.42 = -2.28 0.06y = -2.28 Divide each side by '0.06'. y = -38 Simplifying y = -38
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