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Simplifying -7(y + 6) = 2 + -6y Reorder the terms: -7(6 + y) = 2 + -6y (6 * -7 + y * -7) = 2 + -6y (-42 + -7y) = 2 + -6y Solving -42 + -7y = 2 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -42 + -7y + 6y = 2 + -6y + 6y Combine like terms: -7y + 6y = -1y -42 + -1y = 2 + -6y + 6y Combine like terms: -6y + 6y = 0 -42 + -1y = 2 + 0 -42 + -1y = 2 Add '42' to each side of the equation. -42 + 42 + -1y = 2 + 42 Combine like terms: -42 + 42 = 0 0 + -1y = 2 + 42 -1y = 2 + 42 Combine like terms: 2 + 42 = 44 -1y = 44 Divide each side by '-1'. y = -44 Simplifying y = -44
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