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Simplifying 6(5y + -1) = -2y + -38 Reorder the terms: 6(-1 + 5y) = -2y + -38 (-1 * 6 + 5y * 6) = -2y + -38 (-6 + 30y) = -2y + -38 Reorder the terms: -6 + 30y = -38 + -2y Solving -6 + 30y = -38 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -6 + 30y + 2y = -38 + -2y + 2y Combine like terms: 30y + 2y = 32y -6 + 32y = -38 + -2y + 2y Combine like terms: -2y + 2y = 0 -6 + 32y = -38 + 0 -6 + 32y = -38 Add '6' to each side of the equation. -6 + 6 + 32y = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 32y = -38 + 6 32y = -38 + 6 Combine like terms: -38 + 6 = -32 32y = -32 Divide each side by '32'. y = -1 Simplifying y = -1
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