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Simplifying 0.08(y + -1) + 0.10y = 0.14y + -0.01(10) Reorder the terms: 0.08(-1 + y) + 0.10y = 0.14y + -0.01(10) (-1 * 0.08 + y * 0.08) + 0.10y = 0.14y + -0.01(10) (-0.08 + 0.08y) + 0.10y = 0.14y + -0.01(10) Combine like terms: 0.08y + 0.10y = 0.18y -0.08 + 0.18y = 0.14y + -0.01(10) Multiply -0.01 * 10 -0.08 + 0.18y = 0.14y + -0.1 Reorder the terms: -0.08 + 0.18y = -0.1 + 0.14y Solving -0.08 + 0.18y = -0.1 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.08 + 0.18y + -0.14y = -0.1 + 0.14y + -0.14y Combine like terms: 0.18y + -0.14y = 0.04y -0.08 + 0.04y = -0.1 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.08 + 0.04y = -0.1 + 0.00 -0.08 + 0.04y = -0.1 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.04y = -0.1 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.04y = -0.1 + 0.08 0.04y = -0.1 + 0.08 Combine like terms: -0.1 + 0.08 = -0.02 0.04y = -0.02 Divide each side by '0.04'. y = -0.5 Simplifying y = -0.5
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