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Simplifying -7(y + 2) = 1 + -6y Reorder the terms: -7(2 + y) = 1 + -6y (2 * -7 + y * -7) = 1 + -6y (-14 + -7y) = 1 + -6y Solving -14 + -7y = 1 + -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. -14 + -7y + 6y = 1 + -6y + 6y Combine like terms: -7y + 6y = -1y -14 + -1y = 1 + -6y + 6y Combine like terms: -6y + 6y = 0 -14 + -1y = 1 + 0 -14 + -1y = 1 Add '14' to each side of the equation. -14 + 14 + -1y = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -1y = 1 + 14 -1y = 1 + 14 Combine like terms: 1 + 14 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15
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