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Simplifying 0.12(y + -9) + 0.14y = 0.02y + -9 Reorder the terms: 0.12(-9 + y) + 0.14y = 0.02y + -9 (-9 * 0.12 + y * 0.12) + 0.14y = 0.02y + -9 (-1.08 + 0.12y) + 0.14y = 0.02y + -9 Combine like terms: 0.12y + 0.14y = 0.26y -1.08 + 0.26y = 0.02y + -9 Reorder the terms: -1.08 + 0.26y = -9 + 0.02y Solving -1.08 + 0.26y = -9 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -1.08 + 0.26y + -0.02y = -9 + 0.02y + -0.02y Combine like terms: 0.26y + -0.02y = 0.24y -1.08 + 0.24y = -9 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -1.08 + 0.24y = -9 + 0.00 -1.08 + 0.24y = -9 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.24y = -9 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.24y = -9 + 1.08 0.24y = -9 + 1.08 Combine like terms: -9 + 1.08 = -7.92 0.24y = -7.92 Divide each side by '0.24'. y = -33 Simplifying y = -33
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