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Simplifying 30 = 6(y + 8) + -8y Reorder the terms: 30 = 6(8 + y) + -8y 30 = (8 * 6 + y * 6) + -8y 30 = (48 + 6y) + -8y Combine like terms: 6y + -8y = -2y 30 = 48 + -2y Solving 30 = 48 + -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. 30 + 2y = 48 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + 2y = 48 + 0 30 + 2y = 48 Add '-30' to each side of the equation. 30 + -30 + 2y = 48 + -30 Combine like terms: 30 + -30 = 0 0 + 2y = 48 + -30 2y = 48 + -30 Combine like terms: 48 + -30 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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