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Simplifying 23 = 5(y + 7) + -7y Reorder the terms: 23 = 5(7 + y) + -7y 23 = (7 * 5 + y * 5) + -7y 23 = (35 + 5y) + -7y Combine like terms: 5y + -7y = -2y 23 = 35 + -2y Solving 23 = 35 + -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. 23 + 2y = 35 + -2y + 2y Combine like terms: -2y + 2y = 0 23 + 2y = 35 + 0 23 + 2y = 35 Add '-23' to each side of the equation. 23 + -23 + 2y = 35 + -23 Combine like terms: 23 + -23 = 0 0 + 2y = 35 + -23 2y = 35 + -23 Combine like terms: 35 + -23 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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