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Simplifying 0.16(y + -8) + 0.10y = 0.06y + -0.05(60) Reorder the terms: 0.16(-8 + y) + 0.10y = 0.06y + -0.05(60) (-8 * 0.16 + y * 0.16) + 0.10y = 0.06y + -0.05(60) (-1.28 + 0.16y) + 0.10y = 0.06y + -0.05(60) Combine like terms: 0.16y + 0.10y = 0.26y -1.28 + 0.26y = 0.06y + -0.05(60) Multiply -0.05 * 60 -1.28 + 0.26y = 0.06y + -3 Reorder the terms: -1.28 + 0.26y = -3 + 0.06y Solving -1.28 + 0.26y = -3 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -1.28 + 0.26y + -0.06y = -3 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -1.28 + 0.2y = -3 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.28 + 0.2y = -3 + 0.00 -1.28 + 0.2y = -3 Add '1.28' to each side of the equation. -1.28 + 1.28 + 0.2y = -3 + 1.28 Combine like terms: -1.28 + 1.28 = 0.00 0.00 + 0.2y = -3 + 1.28 0.2y = -3 + 1.28 Combine like terms: -3 + 1.28 = -1.72 0.2y = -1.72 Divide each side by '0.2'. y = -8.6 Simplifying y = -8.6
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