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Simplifying 0.12(y + -9) + 0.14y = 0.16y + -0.05(10) Reorder the terms: 0.12(-9 + y) + 0.14y = 0.16y + -0.05(10) (-9 * 0.12 + y * 0.12) + 0.14y = 0.16y + -0.05(10) (-1.08 + 0.12y) + 0.14y = 0.16y + -0.05(10) Combine like terms: 0.12y + 0.14y = 0.26y -1.08 + 0.26y = 0.16y + -0.05(10) Multiply -0.05 * 10 -1.08 + 0.26y = 0.16y + -0.5 Reorder the terms: -1.08 + 0.26y = -0.5 + 0.16y Solving -1.08 + 0.26y = -0.5 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -1.08 + 0.26y + -0.16y = -0.5 + 0.16y + -0.16y Combine like terms: 0.26y + -0.16y = 0.1y -1.08 + 0.1y = -0.5 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -1.08 + 0.1y = -0.5 + 0.00 -1.08 + 0.1y = -0.5 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.1y = -0.5 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.1y = -0.5 + 1.08 0.1y = -0.5 + 1.08 Combine like terms: -0.5 + 1.08 = 0.58 0.1y = 0.58 Divide each side by '0.1'. y = 5.8 Simplifying y = 5.8
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