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Simplifying 2(6y + 1) = 3y + 20 Reorder the terms: 2(1 + 6y) = 3y + 20 (1 * 2 + 6y * 2) = 3y + 20 (2 + 12y) = 3y + 20 Reorder the terms: 2 + 12y = 20 + 3y Solving 2 + 12y = 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. 2 + 12y + -3y = 20 + 3y + -3y Combine like terms: 12y + -3y = 9y 2 + 9y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + 9y = 20 + 0 2 + 9y = 20 Add '-2' to each side of the equation. 2 + -2 + 9y = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 9y = 20 + -2 9y = 20 + -2 Combine like terms: 20 + -2 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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