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Simplifying 0.16(y + -1) + 0.12y = 0.08y + -0.09(10) Reorder the terms: 0.16(-1 + y) + 0.12y = 0.08y + -0.09(10) (-1 * 0.16 + y * 0.16) + 0.12y = 0.08y + -0.09(10) (-0.16 + 0.16y) + 0.12y = 0.08y + -0.09(10) Combine like terms: 0.16y + 0.12y = 0.28y -0.16 + 0.28y = 0.08y + -0.09(10) Multiply -0.09 * 10 -0.16 + 0.28y = 0.08y + -0.9 Reorder the terms: -0.16 + 0.28y = -0.9 + 0.08y Solving -0.16 + 0.28y = -0.9 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.16 + 0.28y + -0.08y = -0.9 + 0.08y + -0.08y Combine like terms: 0.28y + -0.08y = 0.2y -0.16 + 0.2y = -0.9 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.16 + 0.2y = -0.9 + 0.00 -0.16 + 0.2y = -0.9 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.2y = -0.9 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.2y = -0.9 + 0.16 0.2y = -0.9 + 0.16 Combine like terms: -0.9 + 0.16 = -0.74 0.2y = -0.74 Divide each side by '0.2'. y = -3.7 Simplifying y = -3.7
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