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Simplifying 0.16(y + -9) + 0.02y = 0.08y + -2 Reorder the terms: 0.16(-9 + y) + 0.02y = 0.08y + -2 (-9 * 0.16 + y * 0.16) + 0.02y = 0.08y + -2 (-1.44 + 0.16y) + 0.02y = 0.08y + -2 Combine like terms: 0.16y + 0.02y = 0.18y -1.44 + 0.18y = 0.08y + -2 Reorder the terms: -1.44 + 0.18y = -2 + 0.08y Solving -1.44 + 0.18y = -2 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -1.44 + 0.18y + -0.08y = -2 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -1.44 + 0.1y = -2 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -1.44 + 0.1y = -2 + 0.00 -1.44 + 0.1y = -2 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.1y = -2 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.1y = -2 + 1.44 0.1y = -2 + 1.44 Combine like terms: -2 + 1.44 = -0.56 0.1y = -0.56 Divide each side by '0.1'. y = -5.6 Simplifying y = -5.6
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