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Simplifying -42 + 28y + 6 = 6(5y + -4) + -2 Reorder the terms: -42 + 6 + 28y = 6(5y + -4) + -2 Combine like terms: -42 + 6 = -36 -36 + 28y = 6(5y + -4) + -2 Reorder the terms: -36 + 28y = 6(-4 + 5y) + -2 -36 + 28y = (-4 * 6 + 5y * 6) + -2 -36 + 28y = (-24 + 30y) + -2 Reorder the terms: -36 + 28y = -24 + -2 + 30y Combine like terms: -24 + -2 = -26 -36 + 28y = -26 + 30y Solving -36 + 28y = -26 + 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 = -26 + 30y + -30y Combine like terms: 28y + -30y = -2y -36 + -2y = -26 + 30y + -30y Combine like terms: 30y + -30y = 0 -36 + -2y = -26 + 0 -36 + -2y = -26 Add '36' to each side of the equation. -36 + 36 + -2y = -26 + 36 Combine like terms: -36 + 36 = 0 0 + -2y = -26 + 36 -2y = -26 + 36 Combine like terms: -26 + 36 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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