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Simplifying 8(y + 3) = 2y + 39 + 9 Reorder the terms: 8(3 + y) = 2y + 39 + 9 (3 * 8 + y * 8) = 2y + 39 + 9 (24 + 8y) = 2y + 39 + 9 Reorder the terms: 24 + 8y = 39 + 9 + 2y Combine like terms: 39 + 9 = 48 24 + 8y = 48 + 2y Solving 24 + 8y = 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. 24 + 8y + -2y = 48 + 2y + -2y Combine like terms: 8y + -2y = 6y 24 + 6y = 48 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 6y = 48 + 0 24 + 6y = 48 Add '-24' to each side of the equation. 24 + -24 + 6y = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 6y = 48 + -24 6y = 48 + -24 Combine like terms: 48 + -24 = 24 6y = 24 Divide each side by '6'. y = 4 Simplifying y = 4
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