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Simplifying 8 + -1(2y + 1) = -3y + 1 Reorder the terms: 8 + -1(1 + 2y) = -3y + 1 8 + (1 * -1 + 2y * -1) = -3y + 1 8 + (-1 + -2y) = -3y + 1 Combine like terms: 8 + -1 = 7 7 + -2y = -3y + 1 Reorder the terms: 7 + -2y = 1 + -3y Solving 7 + -2y = 1 + -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. 7 + -2y + 3y = 1 + -3y + 3y Combine like terms: -2y + 3y = 1y 7 + 1y = 1 + -3y + 3y Combine like terms: -3y + 3y = 0 7 + 1y = 1 + 0 7 + 1y = 1 Add '-7' to each side of the equation. 7 + -7 + 1y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 1 + -7 1y = 1 + -7 Combine like terms: 1 + -7 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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