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Simplifying -2(3y + -4) = 3 + -1y Reorder the terms: -2(-4 + 3y) = 3 + -1y (-4 * -2 + 3y * -2) = 3 + -1y (8 + -6y) = 3 + -1y Solving 8 + -6y = 3 + -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. 8 + -6y + y = 3 + -1y + y Combine like terms: -6y + y = -5y 8 + -5y = 3 + -1y + y Combine like terms: -1y + y = 0 8 + -5y = 3 + 0 8 + -5y = 3 Add '-8' to each side of the equation. 8 + -8 + -5y = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -5y = 3 + -8 -5y = 3 + -8 Combine like terms: 3 + -8 = -5 -5y = -5 Divide each side by '-5'. y = 1 Simplifying y = 1
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