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Simplifying 7(y + 8) = 3y + 20 Reorder the terms: 7(8 + y) = 3y + 20 (8 * 7 + y * 7) = 3y + 20 (56 + 7y) = 3y + 20 Reorder the terms: 56 + 7y = 20 + 3y Solving 56 + 7y = 20 + 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. 56 + 7y + -3y = 20 + 3y + -3y Combine like terms: 7y + -3y = 4y 56 + 4y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 56 + 4y = 20 + 0 56 + 4y = 20 Add '-56' to each side of the equation. 56 + -56 + 4y = 20 + -56 Combine like terms: 56 + -56 = 0 0 + 4y = 20 + -56 4y = 20 + -56 Combine like terms: 20 + -56 = -36 4y = -36 Divide each side by '4'. y = -9 Simplifying y = -9
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