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Simplifying 0.14(y + -2) + 0.18y = 0.10y + -0.05(10) Reorder the terms: 0.14(-2 + y) + 0.18y = 0.10y + -0.05(10) (-2 * 0.14 + y * 0.14) + 0.18y = 0.10y + -0.05(10) (-0.28 + 0.14y) + 0.18y = 0.10y + -0.05(10) Combine like terms: 0.14y + 0.18y = 0.32y -0.28 + 0.32y = 0.10y + -0.05(10) Multiply -0.05 * 10 -0.28 + 0.32y = 0.10y + -0.5 Reorder the terms: -0.28 + 0.32y = -0.5 + 0.10y Solving -0.28 + 0.32y = -0.5 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.28 + 0.32y + -0.10y = -0.5 + 0.10y + -0.10y Combine like terms: 0.32y + -0.10y = 0.22y -0.28 + 0.22y = -0.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.28 + 0.22y = -0.5 + 0.00 -0.28 + 0.22y = -0.5 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.22y = -0.5 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.22y = -0.5 + 0.28 0.22y = -0.5 + 0.28 Combine like terms: -0.5 + 0.28 = -0.22 0.22y = -0.22 Divide each side by '0.22'. y = -1 Simplifying y = -1
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