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Simplifying -39 + 28y + 3 = 6(5y + -3) + -2 Reorder the terms: -39 + 3 + 28y = 6(5y + -3) + -2 Combine like terms: -39 + 3 = -36 -36 + 28y = 6(5y + -3) + -2 Reorder the terms: -36 + 28y = 6(-3 + 5y) + -2 -36 + 28y = (-3 * 6 + 5y * 6) + -2 -36 + 28y = (-18 + 30y) + -2 Reorder the terms: -36 + 28y = -18 + -2 + 30y Combine like terms: -18 + -2 = -20 -36 + 28y = -20 + 30y Solving -36 + 28y = -20 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -36 + 28y + -30y = -20 + 30y + -30y Combine like terms: 28y + -30y = -2y -36 + -2y = -20 + 30y + -30y Combine like terms: 30y + -30y = 0 -36 + -2y = -20 + 0 -36 + -2y = -20 Add '36' to each side of the equation. -36 + 36 + -2y = -20 + 36 Combine like terms: -36 + 36 = 0 0 + -2y = -20 + 36 -2y = -20 + 36 Combine like terms: -20 + 36 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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