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Simplifying -7y + 2(y + -7) = 1 Reorder the terms: -7y + 2(-7 + y) = 1 -7y + (-7 * 2 + y * 2) = 1 -7y + (-14 + 2y) = 1 Reorder the terms: -14 + -7y + 2y = 1 Combine like terms: -7y + 2y = -5y -14 + -5y = 1 Solving -14 + -5y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -5y = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -5y = 1 + 14 -5y = 1 + 14 Combine like terms: 1 + 14 = 15 -5y = 15 Divide each side by '-5'. y = -3 Simplifying y = -3
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