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Simplifying 0.20(y + -8) + 0.06y = 0.16y + -0.01(60) Reorder the terms: 0.20(-8 + y) + 0.06y = 0.16y + -0.01(60) (-8 * 0.20 + y * 0.20) + 0.06y = 0.16y + -0.01(60) (-1.6 + 0.20y) + 0.06y = 0.16y + -0.01(60) Combine like terms: 0.20y + 0.06y = 0.26y -1.6 + 0.26y = 0.16y + -0.01(60) Multiply -0.01 * 60 -1.6 + 0.26y = 0.16y + -0.6 Reorder the terms: -1.6 + 0.26y = -0.6 + 0.16y Solving -1.6 + 0.26y = -0.6 + 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. -1.6 + 0.26y + -0.16y = -0.6 + 0.16y + -0.16y Combine like terms: 0.26y + -0.16y = 0.1y -1.6 + 0.1y = -0.6 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -1.6 + 0.1y = -0.6 + 0.00 -1.6 + 0.1y = -0.6 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.1y = -0.6 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.1y = -0.6 + 1.6 0.1y = -0.6 + 1.6 Combine like terms: -0.6 + 1.6 = 1 0.1y = 1 Divide each side by '0.1'. y = 10 Simplifying y = 10
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