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Simplifying 2y + 24 = 2(4y + 3) Reorder the terms: 24 + 2y = 2(4y + 3) Reorder the terms: 24 + 2y = 2(3 + 4y) 24 + 2y = (3 * 2 + 4y * 2) 24 + 2y = (6 + 8y) Solving 24 + 2y = 6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 24 + 2y + -8y = 6 + 8y + -8y Combine like terms: 2y + -8y = -6y 24 + -6y = 6 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + -6y = 6 + 0 24 + -6y = 6 Add '-24' to each side of the equation. 24 + -24 + -6y = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -6y = 6 + -24 -6y = 6 + -24 Combine like terms: 6 + -24 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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