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Simplifying 3(y + -2) + 15 = -39(y + -3) + 6y Reorder the terms: 3(-2 + y) + 15 = -39(y + -3) + 6y (-2 * 3 + y * 3) + 15 = -39(y + -3) + 6y (-6 + 3y) + 15 = -39(y + -3) + 6y Reorder the terms: -6 + 15 + 3y = -39(y + -3) + 6y Combine like terms: -6 + 15 = 9 9 + 3y = -39(y + -3) + 6y Reorder the terms: 9 + 3y = -39(-3 + y) + 6y 9 + 3y = (-3 * -39 + y * -39) + 6y 9 + 3y = (117 + -39y) + 6y Combine like terms: -39y + 6y = -33y 9 + 3y = 117 + -33y Solving 9 + 3y = 117 + -33y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33y' to each side of the equation. 9 + 3y + 33y = 117 + -33y + 33y Combine like terms: 3y + 33y = 36y 9 + 36y = 117 + -33y + 33y Combine like terms: -33y + 33y = 0 9 + 36y = 117 + 0 9 + 36y = 117 Add '-9' to each side of the equation. 9 + -9 + 36y = 117 + -9 Combine like terms: 9 + -9 = 0 0 + 36y = 117 + -9 36y = 117 + -9 Combine like terms: 117 + -9 = 108 36y = 108 Divide each side by '36'. y = 3 Simplifying y = 3
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