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Simplifying 7(y + -2) = 1 + 8y Reorder the terms: 7(-2 + y) = 1 + 8y (-2 * 7 + y * 7) = 1 + 8y (-14 + 7y) = 1 + 8y Solving -14 + 7y = 1 + 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. -14 + 7y + -8y = 1 + 8y + -8y Combine like terms: 7y + -8y = -1y -14 + -1y = 1 + 8y + -8y Combine like terms: 8y + -8y = 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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