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Simplifying 0.14(y + -6) + 0.08y = 0.04y + -0.01(30) Reorder the terms: 0.14(-6 + y) + 0.08y = 0.04y + -0.01(30) (-6 * 0.14 + y * 0.14) + 0.08y = 0.04y + -0.01(30) (-0.84 + 0.14y) + 0.08y = 0.04y + -0.01(30) Combine like terms: 0.14y + 0.08y = 0.22y -0.84 + 0.22y = 0.04y + -0.01(30) Multiply -0.01 * 30 -0.84 + 0.22y = 0.04y + -0.3 Reorder the terms: -0.84 + 0.22y = -0.3 + 0.04y Solving -0.84 + 0.22y = -0.3 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.84 + 0.22y + -0.04y = -0.3 + 0.04y + -0.04y Combine like terms: 0.22y + -0.04y = 0.18y -0.84 + 0.18y = -0.3 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.84 + 0.18y = -0.3 + 0.00 -0.84 + 0.18y = -0.3 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.18y = -0.3 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.18y = -0.3 + 0.84 0.18y = -0.3 + 0.84 Combine like terms: -0.3 + 0.84 = 0.54 0.18y = 0.54 Divide each side by '0.18'. y = 3 Simplifying y = 3
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