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Simplifying 3(y + 4) = 2y + 13 Reorder the terms: 3(4 + y) = 2y + 13 (4 * 3 + y * 3) = 2y + 13 (12 + 3y) = 2y + 13 Reorder the terms: 12 + 3y = 13 + 2y Solving 12 + 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. 12 + 3y + -2y = 13 + 2y + -2y Combine like terms: 3y + -2y = 1y 12 + 1y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 1y = 13 + 0 12 + 1y = 13 Add '-12' to each side of the equation. 12 + -12 + 1y = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 13 + -12 1y = 13 + -12 Combine like terms: 13 + -12 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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