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Simplifying 7 + -1(2y + -7) = 8 + -3y Reorder the terms: 7 + -1(-7 + 2y) = 8 + -3y 7 + (-7 * -1 + 2y * -1) = 8 + -3y 7 + (7 + -2y) = 8 + -3y Combine like terms: 7 + 7 = 14 14 + -2y = 8 + -3y Solving 14 + -2y = 8 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 14 + -2y + 3y = 8 + -3y + 3y Combine like terms: -2y + 3y = 1y 14 + 1y = 8 + -3y + 3y Combine like terms: -3y + 3y = 0 14 + 1y = 8 + 0 14 + 1y = 8 Add '-14' to each side of the equation. 14 + -14 + 1y = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 1y = 8 + -14 1y = 8 + -14 Combine like terms: 8 + -14 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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