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Simplifying 8y + 1 = 7y + -2(7 + y) Reorder the terms: 1 + 8y = 7y + -2(7 + y) 1 + 8y = 7y + (7 * -2 + y * -2) 1 + 8y = 7y + (-14 + -2y) Reorder the terms: 1 + 8y = -14 + 7y + -2y Combine like terms: 7y + -2y = 5y 1 + 8y = -14 + 5y Solving 1 + 8y = -14 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 1 + 8y + -5y = -14 + 5y + -5y Combine like terms: 8y + -5y = 3y 1 + 3y = -14 + 5y + -5y Combine like terms: 5y + -5y = 0 1 + 3y = -14 + 0 1 + 3y = -14 Add '-1' to each side of the equation. 1 + -1 + 3y = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = -14 + -1 3y = -14 + -1 Combine like terms: -14 + -1 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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