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Simplifying 3(y + 8) = 6y + 21 Reorder the terms: 3(8 + y) = 6y + 21 (8 * 3 + y * 3) = 6y + 21 (24 + 3y) = 6y + 21 Reorder the terms: 24 + 3y = 21 + 6y Solving 24 + 3y = 21 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 24 + 3y + -6y = 21 + 6y + -6y Combine like terms: 3y + -6y = -3y 24 + -3y = 21 + 6y + -6y Combine like terms: 6y + -6y = 0 24 + -3y = 21 + 0 24 + -3y = 21 Add '-24' to each side of the equation. 24 + -24 + -3y = 21 + -24 Combine like terms: 24 + -24 = 0 0 + -3y = 21 + -24 -3y = 21 + -24 Combine like terms: 21 + -24 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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