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Simplifying 0.12(y + -9) + 0.16y = 0.14y + -1.5 Reorder the terms: 0.12(-9 + y) + 0.16y = 0.14y + -1.5 (-9 * 0.12 + y * 0.12) + 0.16y = 0.14y + -1.5 (-1.08 + 0.12y) + 0.16y = 0.14y + -1.5 Combine like terms: 0.12y + 0.16y = 0.28y -1.08 + 0.28y = 0.14y + -1.5 Reorder the terms: -1.08 + 0.28y = -1.5 + 0.14y Solving -1.08 + 0.28y = -1.5 + 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. -1.08 + 0.28y + -0.14y = -1.5 + 0.14y + -0.14y Combine like terms: 0.28y + -0.14y = 0.14y -1.08 + 0.14y = -1.5 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -1.08 + 0.14y = -1.5 + 0.00 -1.08 + 0.14y = -1.5 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.14y = -1.5 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.14y = -1.5 + 1.08 0.14y = -1.5 + 1.08 Combine like terms: -1.5 + 1.08 = -0.42 0.14y = -0.42 Divide each side by '0.14'. y = -3 Simplifying y = -3
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