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Simplifying 3(5y + 3) + 15 = 4(2y + 4) + -24 Reorder the terms: 3(3 + 5y) + 15 = 4(2y + 4) + -24 (3 * 3 + 5y * 3) + 15 = 4(2y + 4) + -24 (9 + 15y) + 15 = 4(2y + 4) + -24 Reorder the terms: 9 + 15 + 15y = 4(2y + 4) + -24 Combine like terms: 9 + 15 = 24 24 + 15y = 4(2y + 4) + -24 Reorder the terms: 24 + 15y = 4(4 + 2y) + -24 24 + 15y = (4 * 4 + 2y * 4) + -24 24 + 15y = (16 + 8y) + -24 Reorder the terms: 24 + 15y = 16 + -24 + 8y Combine like terms: 16 + -24 = -8 24 + 15y = -8 + 8y Solving 24 + 15y = -8 + 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 + 15y + -8y = -8 + 8y + -8y Combine like terms: 15y + -8y = 7y 24 + 7y = -8 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + 7y = -8 + 0 24 + 7y = -8 Add '-24' to each side of the equation. 24 + -24 + 7y = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 7y = -8 + -24 7y = -8 + -24 Combine like terms: -8 + -24 = -32 7y = -32 Divide each side by '7'. y = -4.571428571 Simplifying y = -4.571428571
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