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Simplifying 0.14(y + -9) + 0.10 = 0.04y + -0.01(60) Reorder the terms: 0.14(-9 + y) + 0.10 = 0.04y + -0.01(60) (-9 * 0.14 + y * 0.14) + 0.10 = 0.04y + -0.01(60) (-1.26 + 0.14y) + 0.10 = 0.04y + -0.01(60) Reorder the terms: -1.26 + 0.10 + 0.14y = 0.04y + -0.01(60) Combine like terms: -1.26 + 0.10 = -1.16 -1.16 + 0.14y = 0.04y + -0.01(60) Multiply -0.01 * 60 -1.16 + 0.14y = 0.04y + -0.6 Reorder the terms: -1.16 + 0.14y = -0.6 + 0.04y Solving -1.16 + 0.14y = -0.6 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -1.16 + 0.14y + -0.04y = -0.6 + 0.04y + -0.04y Combine like terms: 0.14y + -0.04y = 0.1y -1.16 + 0.1y = -0.6 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -1.16 + 0.1y = -0.6 + 0.00 -1.16 + 0.1y = -0.6 Add '1.16' to each side of the equation. -1.16 + 1.16 + 0.1y = -0.6 + 1.16 Combine like terms: -1.16 + 1.16 = 0.00 0.00 + 0.1y = -0.6 + 1.16 0.1y = -0.6 + 1.16 Combine like terms: -0.6 + 1.16 = 0.56 0.1y = 0.56 Divide each side by '0.1'. y = 5.6 Simplifying y = 5.6
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