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Simplifying 8y = 23 + 3(2y + -7) Reorder the terms: 8y = 23 + 3(-7 + 2y) 8y = 23 + (-7 * 3 + 2y * 3) 8y = 23 + (-21 + 6y) Combine like terms: 23 + -21 = 2 8y = 2 + 6y Solving 8y = 2 + 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. 8y + -6y = 2 + 6y + -6y Combine like terms: 8y + -6y = 2y 2y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 2y = 2 + 0 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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