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Simplifying 0.16(y + -8) + 0.10y = 0.18y + -0.09(10) Reorder the terms: 0.16(-8 + y) + 0.10y = 0.18y + -0.09(10) (-8 * 0.16 + y * 0.16) + 0.10y = 0.18y + -0.09(10) (-1.28 + 0.16y) + 0.10y = 0.18y + -0.09(10) Combine like terms: 0.16y + 0.10y = 0.26y -1.28 + 0.26y = 0.18y + -0.09(10) Multiply -0.09 * 10 -1.28 + 0.26y = 0.18y + -0.9 Reorder the terms: -1.28 + 0.26y = -0.9 + 0.18y Solving -1.28 + 0.26y = -0.9 + 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. -1.28 + 0.26y + -0.18y = -0.9 + 0.18y + -0.18y Combine like terms: 0.26y + -0.18y = 0.08y -1.28 + 0.08y = -0.9 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1.28 + 0.08y = -0.9 + 0.00 -1.28 + 0.08y = -0.9 Add '1.28' to each side of the equation. -1.28 + 1.28 + 0.08y = -0.9 + 1.28 Combine like terms: -1.28 + 1.28 = 0.00 0.00 + 0.08y = -0.9 + 1.28 0.08y = -0.9 + 1.28 Combine like terms: -0.9 + 1.28 = 0.38 0.08y = 0.38 Divide each side by '0.08'. y = 4.75 Simplifying y = 4.75
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