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Simplifying 0.16(y + -1) + 0.08y = 0.18y + -0.1 Reorder the terms: 0.16(-1 + y) + 0.08y = 0.18y + -0.1 (-1 * 0.16 + y * 0.16) + 0.08y = 0.18y + -0.1 (-0.16 + 0.16y) + 0.08y = 0.18y + -0.1 Combine like terms: 0.16y + 0.08y = 0.24y -0.16 + 0.24y = 0.18y + -0.1 Reorder the terms: -0.16 + 0.24y = -0.1 + 0.18y Solving -0.16 + 0.24y = -0.1 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.16 + 0.24y + -0.18y = -0.1 + 0.18y + -0.18y Combine like terms: 0.24y + -0.18y = 0.06y -0.16 + 0.06y = -0.1 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.16 + 0.06y = -0.1 + 0.00 -0.16 + 0.06y = -0.1 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.06y = -0.1 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.06y = -0.1 + 0.16 0.06y = -0.1 + 0.16 Combine like terms: -0.1 + 0.16 = 0.06 0.06y = 0.06 Divide each side by '0.06'. y = 1 Simplifying y = 1
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