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Simplifying 0.14(y + -6) + 0.08y = 0.02y + -0.07(100) Reorder the terms: 0.14(-6 + y) + 0.08y = 0.02y + -0.07(100) (-6 * 0.14 + y * 0.14) + 0.08y = 0.02y + -0.07(100) (-0.84 + 0.14y) + 0.08y = 0.02y + -0.07(100) Combine like terms: 0.14y + 0.08y = 0.22y -0.84 + 0.22y = 0.02y + -0.07(100) Multiply -0.07 * 100 -0.84 + 0.22y = 0.02y + -7 Reorder the terms: -0.84 + 0.22y = -7 + 0.02y Solving -0.84 + 0.22y = -7 + 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. -0.84 + 0.22y + -0.02y = -7 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.84 + 0.2y = -7 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.84 + 0.2y = -7 + 0.00 -0.84 + 0.2y = -7 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.2y = -7 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.2y = -7 + 0.84 0.2y = -7 + 0.84 Combine like terms: -7 + 0.84 = -6.16 0.2y = -6.16 Divide each side by '0.2'. y = -30.8 Simplifying y = -30.8
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