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Simplifying 30 + 7(y + -1) = 3(2y + 7) Reorder the terms: 30 + 7(-1 + y) = 3(2y + 7) 30 + (-1 * 7 + y * 7) = 3(2y + 7) 30 + (-7 + 7y) = 3(2y + 7) Combine like terms: 30 + -7 = 23 23 + 7y = 3(2y + 7) Reorder the terms: 23 + 7y = 3(7 + 2y) 23 + 7y = (7 * 3 + 2y * 3) 23 + 7y = (21 + 6y) Solving 23 + 7y = 21 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 23 + 7y + -6y = 21 + 6y + -6y Combine like terms: 7y + -6y = 1y 23 + 1y = 21 + 6y + -6y Combine like terms: 6y + -6y = 0 23 + 1y = 21 + 0 23 + 1y = 21 Add '-23' to each side of the equation. 23 + -23 + 1y = 21 + -23 Combine like terms: 23 + -23 = 0 0 + 1y = 21 + -23 1y = 21 + -23 Combine like terms: 21 + -23 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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