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Simplifying 4(5 + x) = y + 4x + -6 (5 * 4 + x * 4) = y + 4x + -6 (20 + 4x) = y + 4x + -6 Reorder the terms: 20 + 4x = -6 + 4x + y Add '-4x' to each side of the equation. 20 + 4x + -4x = -6 + 4x + -4x + y Combine like terms: 4x + -4x = 0 20 + 0 = -6 + 4x + -4x + y 20 = -6 + 4x + -4x + y Combine like terms: 4x + -4x = 0 20 = -6 + 0 + y 20 = -6 + y Solving 20 = -6 + 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. 20 + -1y = -6 + y + -1y Combine like terms: y + -1y = 0 20 + -1y = -6 + 0 20 + -1y = -6 Add '-20' to each side of the equation. 20 + -20 + -1y = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = -6 + -20 -1y = -6 + -20 Combine like terms: -6 + -20 = -26 -1y = -26 Divide each side by '-1'. y = 26 Simplifying y = 26
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