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Simplifying 0.14(y + -9) + 0.06y = 0.10y + -0.07(30) Reorder the terms: 0.14(-9 + y) + 0.06y = 0.10y + -0.07(30) (-9 * 0.14 + y * 0.14) + 0.06y = 0.10y + -0.07(30) (-1.26 + 0.14y) + 0.06y = 0.10y + -0.07(30) Combine like terms: 0.14y + 0.06y = 0.2y -1.26 + 0.2y = 0.10y + -0.07(30) Multiply -0.07 * 30 -1.26 + 0.2y = 0.10y + -2.1 Reorder the terms: -1.26 + 0.2y = -2.1 + 0.10y Solving -1.26 + 0.2y = -2.1 + 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. -1.26 + 0.2y + -0.10y = -2.1 + 0.10y + -0.10y Combine like terms: 0.2y + -0.10y = 0.1y -1.26 + 0.1y = -2.1 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -1.26 + 0.1y = -2.1 + 0.00 -1.26 + 0.1y = -2.1 Add '1.26' to each side of the equation. -1.26 + 1.26 + 0.1y = -2.1 + 1.26 Combine like terms: -1.26 + 1.26 = 0.00 0.00 + 0.1y = -2.1 + 1.26 0.1y = -2.1 + 1.26 Combine like terms: -2.1 + 1.26 = -0.84 0.1y = -0.84 Divide each side by '0.1'. y = -8.4 Simplifying y = -8.4
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