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Simplifying 4(y + 5) = 1 + 3y Reorder the terms: 4(5 + y) = 1 + 3y (5 * 4 + y * 4) = 1 + 3y (20 + 4y) = 1 + 3y Solving 20 + 4y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 20 + 4y + -3y = 1 + 3y + -3y Combine like terms: 4y + -3y = 1y 20 + 1y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 20 + 1y = 1 + 0 20 + 1y = 1 Add '-20' to each side of the equation. 20 + -20 + 1y = 1 + -20 Combine like terms: 20 + -20 = 0 0 + 1y = 1 + -20 1y = 1 + -20 Combine like terms: 1 + -20 = -19 1y = -19 Divide each side by '1'. y = -19 Simplifying y = -19
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