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