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Simplifying 7y + 29 = 3(y + 3) Reorder the terms: 29 + 7y = 3(y + 3) Reorder the terms: 29 + 7y = 3(3 + y) 29 + 7y = (3 * 3 + y * 3) 29 + 7y = (9 + 3y) Solving 29 + 7y = 9 + 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. 29 + 7y + -3y = 9 + 3y + -3y Combine like terms: 7y + -3y = 4y 29 + 4y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 29 + 4y = 9 + 0 29 + 4y = 9 Add '-29' to each side of the equation. 29 + -29 + 4y = 9 + -29 Combine like terms: 29 + -29 = 0 0 + 4y = 9 + -29 4y = 9 + -29 Combine like terms: 9 + -29 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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