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Simplifying 0.20(y + -9) + 0.06y = 0.16y + -2.7 Reorder the terms: 0.20(-9 + y) + 0.06y = 0.16y + -2.7 (-9 * 0.20 + y * 0.20) + 0.06y = 0.16y + -2.7 (-1.8 + 0.20y) + 0.06y = 0.16y + -2.7 Combine like terms: 0.20y + 0.06y = 0.26y -1.8 + 0.26y = 0.16y + -2.7 Reorder the terms: -1.8 + 0.26y = -2.7 + 0.16y Solving -1.8 + 0.26y = -2.7 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -1.8 + 0.26y + -0.16y = -2.7 + 0.16y + -0.16y Combine like terms: 0.26y + -0.16y = 0.1y -1.8 + 0.1y = -2.7 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -1.8 + 0.1y = -2.7 + 0.00 -1.8 + 0.1y = -2.7 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.1y = -2.7 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.1y = -2.7 + 1.8 0.1y = -2.7 + 1.8 Combine like terms: -2.7 + 1.8 = -0.9 0.1y = -0.9 Divide each side by '0.1'. y = -9 Simplifying y = -9
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