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Simplifying 4(y + 8) = 5 + 3y Reorder the terms: 4(8 + y) = 5 + 3y (8 * 4 + y * 4) = 5 + 3y (32 + 4y) = 5 + 3y Solving 32 + 4y = 5 + 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. 32 + 4y + -3y = 5 + 3y + -3y Combine like terms: 4y + -3y = 1y 32 + 1y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 32 + 1y = 5 + 0 32 + 1y = 5 Add '-32' to each side of the equation. 32 + -32 + 1y = 5 + -32 Combine like terms: 32 + -32 = 0 0 + 1y = 5 + -32 1y = 5 + -32 Combine like terms: 5 + -32 = -27 1y = -27 Divide each side by '1'. y = -27 Simplifying y = -27
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