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Simplifying 0.08(y + -1) + 0.02 = 0.18y + -0.01(30) Reorder the terms: 0.08(-1 + y) + 0.02 = 0.18y + -0.01(30) (-1 * 0.08 + y * 0.08) + 0.02 = 0.18y + -0.01(30) (-0.08 + 0.08y) + 0.02 = 0.18y + -0.01(30) Reorder the terms: -0.08 + 0.02 + 0.08y = 0.18y + -0.01(30) Combine like terms: -0.08 + 0.02 = -0.06 -0.06 + 0.08y = 0.18y + -0.01(30) Multiply -0.01 * 30 -0.06 + 0.08y = 0.18y + -0.3 Reorder the terms: -0.06 + 0.08y = -0.3 + 0.18y Solving -0.06 + 0.08y = -0.3 + 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. -0.06 + 0.08y + -0.18y = -0.3 + 0.18y + -0.18y Combine like terms: 0.08y + -0.18y = -0.1y -0.06 + -0.1y = -0.3 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.06 + -0.1y = -0.3 + 0.00 -0.06 + -0.1y = -0.3 Add '0.06' to each side of the equation. -0.06 + 0.06 + -0.1y = -0.3 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + -0.1y = -0.3 + 0.06 -0.1y = -0.3 + 0.06 Combine like terms: -0.3 + 0.06 = -0.24 -0.1y = -0.24 Divide each side by '-0.1'. y = 2.4 Simplifying y = 2.4
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