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Simplifying 0.08(y + -8) + 0.18y = 0.16y + -0.05(30) Reorder the terms: 0.08(-8 + y) + 0.18y = 0.16y + -0.05(30) (-8 * 0.08 + y * 0.08) + 0.18y = 0.16y + -0.05(30) (-0.64 + 0.08y) + 0.18y = 0.16y + -0.05(30) Combine like terms: 0.08y + 0.18y = 0.26y -0.64 + 0.26y = 0.16y + -0.05(30) Multiply -0.05 * 30 -0.64 + 0.26y = 0.16y + -1.5 Reorder the terms: -0.64 + 0.26y = -1.5 + 0.16y Solving -0.64 + 0.26y = -1.5 + 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. -0.64 + 0.26y + -0.16y = -1.5 + 0.16y + -0.16y Combine like terms: 0.26y + -0.16y = 0.1y -0.64 + 0.1y = -1.5 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.64 + 0.1y = -1.5 + 0.00 -0.64 + 0.1y = -1.5 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.1y = -1.5 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.1y = -1.5 + 0.64 0.1y = -1.5 + 0.64 Combine like terms: -1.5 + 0.64 = -0.86 0.1y = -0.86 Divide each side by '0.1'. y = -8.6 Simplifying y = -8.6
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