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Simplifying 2y + 9 = 3(y + 7) Reorder the terms: 9 + 2y = 3(y + 7) Reorder the terms: 9 + 2y = 3(7 + y) 9 + 2y = (7 * 3 + y * 3) 9 + 2y = (21 + 3y) Solving 9 + 2y = 21 + 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. 9 + 2y + -3y = 21 + 3y + -3y Combine like terms: 2y + -3y = -1y 9 + -1y = 21 + 3y + -3y Combine like terms: 3y + -3y = 0 9 + -1y = 21 + 0 9 + -1y = 21 Add '-9' to each side of the equation. 9 + -9 + -1y = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 21 + -9 -1y = 21 + -9 Combine like terms: 21 + -9 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12
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