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