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Simplifying -1(2y + 1) = 8(y + 2) + 2 Reorder the terms: -1(1 + 2y) = 8(y + 2) + 2 (1 * -1 + 2y * -1) = 8(y + 2) + 2 (-1 + -2y) = 8(y + 2) + 2 Reorder the terms: -1 + -2y = 8(2 + y) + 2 -1 + -2y = (2 * 8 + y * 8) + 2 -1 + -2y = (16 + 8y) + 2 Reorder the terms: -1 + -2y = 16 + 2 + 8y Combine like terms: 16 + 2 = 18 -1 + -2y = 18 + 8y Solving -1 + -2y = 18 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -1 + -2y + -8y = 18 + 8y + -8y Combine like terms: -2y + -8y = -10y -1 + -10y = 18 + 8y + -8y Combine like terms: 8y + -8y = 0 -1 + -10y = 18 + 0 -1 + -10y = 18 Add '1' to each side of the equation. -1 + 1 + -10y = 18 + 1 Combine like terms: -1 + 1 = 0 0 + -10y = 18 + 1 -10y = 18 + 1 Combine like terms: 18 + 1 = 19 -10y = 19 Divide each side by '-10'. y = -1.9 Simplifying y = -1.9
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