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Simplifying 3(y + 2) = 2y + 13 Reorder the terms: 3(2 + y) = 2y + 13 (2 * 3 + y * 3) = 2y + 13 (6 + 3y) = 2y + 13 Reorder the terms: 6 + 3y = 13 + 2y Solving 6 + 3y = 13 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 6 + 3y + -2y = 13 + 2y + -2y Combine like terms: 3y + -2y = 1y 6 + 1y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 6 + 1y = 13 + 0 6 + 1y = 13 Add '-6' to each side of the equation. 6 + -6 + 1y = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 13 + -6 1y = 13 + -6 Combine like terms: 13 + -6 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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