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Simplifying 0.6(y + -1) + 0.12y = 0.08y + -0.05(10) Reorder the terms: 0.6(-1 + y) + 0.12y = 0.08y + -0.05(10) (-1 * 0.6 + y * 0.6) + 0.12y = 0.08y + -0.05(10) (-0.6 + 0.6y) + 0.12y = 0.08y + -0.05(10) Combine like terms: 0.6y + 0.12y = 0.72y -0.6 + 0.72y = 0.08y + -0.05(10) Multiply -0.05 * 10 -0.6 + 0.72y = 0.08y + -0.5 Reorder the terms: -0.6 + 0.72y = -0.5 + 0.08y Solving -0.6 + 0.72y = -0.5 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.6 + 0.72y + -0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.72y + -0.08y = 0.64y -0.6 + 0.64y = -0.5 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.6 + 0.64y = -0.5 + 0.00 -0.6 + 0.64y = -0.5 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.64y = -0.5 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.64y = -0.5 + 0.6 0.64y = -0.5 + 0.6 Combine like terms: -0.5 + 0.6 = 0.1 0.64y = 0.1 Divide each side by '0.64'. y = 0.15625 Simplifying y = 0.15625
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