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Simplifying 5(6 + -4x) = y + -20x (6 * 5 + -4x * 5) = y + -20x (30 + -20x) = y + -20x Reorder the terms: 30 + -20x = -20x + y Add '20x' to each side of the equation. 30 + -20x + 20x = -20x + 20x + y Combine like terms: -20x + 20x = 0 30 + 0 = -20x + 20x + y 30 = -20x + 20x + y Combine like terms: -20x + 20x = 0 30 = 0 + y 30 = y Solving 30 = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 30 + -1y = y + -1y Combine like terms: y + -1y = 0 30 + -1y = 0 Add '-30' to each side of the equation. 30 + -30 + -1y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = 0 + -30 -1y = 0 + -30 Combine like terms: 0 + -30 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30
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