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Simplifying -7(y + 6) = -8y Reorder the terms: -7(6 + y) = -8y (6 * -7 + y * -7) = -8y (-42 + -7y) = -8y Solving -42 + -7y = -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. -42 + -7y + 8y = -8y + 8y Combine like terms: -7y + 8y = 1y -42 + 1y = -8y + 8y Combine like terms: -8y + 8y = 0 -42 + 1y = 0 Add '42' to each side of the equation. -42 + 42 + 1y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 1y = 0 + 42 1y = 0 + 42 Combine like terms: 0 + 42 = 42 1y = 42 Divide each side by '1'. y = 42 Simplifying y = 42
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