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Simplifying 0.14(y + -8) + 0.02y = 0.20y + -0.055(30) Reorder the terms: 0.14(-8 + y) + 0.02y = 0.20y + -0.055(30) (-8 * 0.14 + y * 0.14) + 0.02y = 0.20y + -0.055(30) (-1.12 + 0.14y) + 0.02y = 0.20y + -0.055(30) Combine like terms: 0.14y + 0.02y = 0.16y -1.12 + 0.16y = 0.20y + -0.055(30) Multiply -0.055 * 30 -1.12 + 0.16y = 0.20y + -1.65 Reorder the terms: -1.12 + 0.16y = -1.65 + 0.20y Solving -1.12 + 0.16y = -1.65 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -1.12 + 0.16y + -0.20y = -1.65 + 0.20y + -0.20y Combine like terms: 0.16y + -0.20y = -0.04y -1.12 + -0.04y = -1.65 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -1.12 + -0.04y = -1.65 + 0.00 -1.12 + -0.04y = -1.65 Add '1.12' to each side of the equation. -1.12 + 1.12 + -0.04y = -1.65 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + -0.04y = -1.65 + 1.12 -0.04y = -1.65 + 1.12 Combine like terms: -1.65 + 1.12 = -0.53 -0.04y = -0.53 Divide each side by '-0.04'. y = 13.25 Simplifying y = 13.25
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