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Simplifying 0.16(y + -9) + 0.06y = 0.02y + -0.1 Reorder the terms: 0.16(-9 + y) + 0.06y = 0.02y + -0.1 (-9 * 0.16 + y * 0.16) + 0.06y = 0.02y + -0.1 (-1.44 + 0.16y) + 0.06y = 0.02y + -0.1 Combine like terms: 0.16y + 0.06y = 0.22y -1.44 + 0.22y = 0.02y + -0.1 Reorder the terms: -1.44 + 0.22y = -0.1 + 0.02y Solving -1.44 + 0.22y = -0.1 + 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. -1.44 + 0.22y + -0.02y = -0.1 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -1.44 + 0.2y = -0.1 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -1.44 + 0.2y = -0.1 + 0.00 -1.44 + 0.2y = -0.1 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.2y = -0.1 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.2y = -0.1 + 1.44 0.2y = -0.1 + 1.44 Combine like terms: -0.1 + 1.44 = 1.34 0.2y = 1.34 Divide each side by '0.2'. y = 6.7 Simplifying y = 6.7
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