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Simplifying 0.14(y + -8) + 0.08y = 0.02y + -0.03(20) Reorder the terms: 0.14(-8 + y) + 0.08y = 0.02y + -0.03(20) (-8 * 0.14 + y * 0.14) + 0.08y = 0.02y + -0.03(20) (-1.12 + 0.14y) + 0.08y = 0.02y + -0.03(20) Combine like terms: 0.14y + 0.08y = 0.22y -1.12 + 0.22y = 0.02y + -0.03(20) Multiply -0.03 * 20 -1.12 + 0.22y = 0.02y + -0.6 Reorder the terms: -1.12 + 0.22y = -0.6 + 0.02y Solving -1.12 + 0.22y = -0.6 + 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. -1.12 + 0.22y + -0.02y = -0.6 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -1.12 + 0.2y = -0.6 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -1.12 + 0.2y = -0.6 + 0.00 -1.12 + 0.2y = -0.6 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.2y = -0.6 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.2y = -0.6 + 1.12 0.2y = -0.6 + 1.12 Combine like terms: -0.6 + 1.12 = 0.52 0.2y = 0.52 Divide each side by '0.2'. y = 2.6 Simplifying y = 2.6
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