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Simplifying 0.14(y + -8) + 0.08y = 0.18y + -0.9 Reorder the terms: 0.14(-8 + y) + 0.08y = 0.18y + -0.9 (-8 * 0.14 + y * 0.14) + 0.08y = 0.18y + -0.9 (-1.12 + 0.14y) + 0.08y = 0.18y + -0.9 Combine like terms: 0.14y + 0.08y = 0.22y -1.12 + 0.22y = 0.18y + -0.9 Reorder the terms: -1.12 + 0.22y = -0.9 + 0.18y Solving -1.12 + 0.22y = -0.9 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -1.12 + 0.22y + -0.18y = -0.9 + 0.18y + -0.18y Combine like terms: 0.22y + -0.18y = 0.04y -1.12 + 0.04y = -0.9 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1.12 + 0.04y = -0.9 + 0.00 -1.12 + 0.04y = -0.9 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.04y = -0.9 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.04y = -0.9 + 1.12 0.04y = -0.9 + 1.12 Combine like terms: -0.9 + 1.12 = 0.22 0.04y = 0.22 Divide each side by '0.04'. y = 5.5 Simplifying y = 5.5
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