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Simplifying -6(y + 7) = -8y + -22 Reorder the terms: -6(7 + y) = -8y + -22 (7 * -6 + y * -6) = -8y + -22 (-42 + -6y) = -8y + -22 Reorder the terms: -42 + -6y = -22 + -8y Solving -42 + -6y = -22 + -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 + -6y + 8y = -22 + -8y + 8y Combine like terms: -6y + 8y = 2y -42 + 2y = -22 + -8y + 8y Combine like terms: -8y + 8y = 0 -42 + 2y = -22 + 0 -42 + 2y = -22 Add '42' to each side of the equation. -42 + 42 + 2y = -22 + 42 Combine like terms: -42 + 42 = 0 0 + 2y = -22 + 42 2y = -22 + 42 Combine like terms: -22 + 42 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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