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Simplifying -1(3y + 4) = 8 + -1y Reorder the terms: -1(4 + 3y) = 8 + -1y (4 * -1 + 3y * -1) = 8 + -1y (-4 + -3y) = 8 + -1y Solving -4 + -3y = 8 + -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. -4 + -3y + y = 8 + -1y + y Combine like terms: -3y + y = -2y -4 + -2y = 8 + -1y + y Combine like terms: -1y + y = 0 -4 + -2y = 8 + 0 -4 + -2y = 8 Add '4' to each side of the equation. -4 + 4 + -2y = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -2y = 8 + 4 -2y = 8 + 4 Combine like terms: 8 + 4 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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