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Simplifying -1(y + 1) + 6y = 2(y + 2) + -8 Reorder the terms: -1(1 + y) + 6y = 2(y + 2) + -8 (1 * -1 + y * -1) + 6y = 2(y + 2) + -8 (-1 + -1y) + 6y = 2(y + 2) + -8 Combine like terms: -1y + 6y = 5y -1 + 5y = 2(y + 2) + -8 Reorder the terms: -1 + 5y = 2(2 + y) + -8 -1 + 5y = (2 * 2 + y * 2) + -8 -1 + 5y = (4 + 2y) + -8 Reorder the terms: -1 + 5y = 4 + -8 + 2y Combine like terms: 4 + -8 = -4 -1 + 5y = -4 + 2y Solving -1 + 5y = -4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -1 + 5y + -2y = -4 + 2y + -2y Combine like terms: 5y + -2y = 3y -1 + 3y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 -1 + 3y = -4 + 0 -1 + 3y = -4 Add '1' to each side of the equation. -1 + 1 + 3y = -4 + 1 Combine like terms: -1 + 1 = 0 0 + 3y = -4 + 1 3y = -4 + 1 Combine like terms: -4 + 1 = -3 3y = -3 Divide each side by '3'. y = -1 Simplifying y = -1
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