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Simplifying 0.08(y + -1) + 0.10y = 0.02y + -0.03(40) Reorder the terms: 0.08(-1 + y) + 0.10y = 0.02y + -0.03(40) (-1 * 0.08 + y * 0.08) + 0.10y = 0.02y + -0.03(40) (-0.08 + 0.08y) + 0.10y = 0.02y + -0.03(40) Combine like terms: 0.08y + 0.10y = 0.18y -0.08 + 0.18y = 0.02y + -0.03(40) Multiply -0.03 * 40 -0.08 + 0.18y = 0.02y + -1.2 Reorder the terms: -0.08 + 0.18y = -1.2 + 0.02y Solving -0.08 + 0.18y = -1.2 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.08 + 0.18y + -0.02y = -1.2 + 0.02y + -0.02y Combine like terms: 0.18y + -0.02y = 0.16y -0.08 + 0.16y = -1.2 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.08 + 0.16y = -1.2 + 0.00 -0.08 + 0.16y = -1.2 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.16y = -1.2 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.16y = -1.2 + 0.08 0.16y = -1.2 + 0.08 Combine like terms: -1.2 + 0.08 = -1.12 0.16y = -1.12 Divide each side by '0.16'. y = -7 Simplifying y = -7
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