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Simplifying 0.12(y + -9) + 0.06y = 0.05(20) Reorder the terms: 0.12(-9 + y) + 0.06y = 0.05(20) (-9 * 0.12 + y * 0.12) + 0.06y = 0.05(20) (-1.08 + 0.12y) + 0.06y = 0.05(20) Combine like terms: 0.12y + 0.06y = 0.18y -1.08 + 0.18y = 0.05(20) Multiply 0.05 * 20 -1.08 + 0.18y = 1 Solving -1.08 + 0.18y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.18y = 1 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.18y = 1 + 1.08 0.18y = 1 + 1.08 Combine like terms: 1 + 1.08 = 2.08 0.18y = 2.08 Divide each side by '0.18'. y = 11.55555556 Simplifying y = 11.55555556
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