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Simplifying -2(y + -4) = -4(3 + -2y) Reorder the terms: -2(-4 + y) = -4(3 + -2y) (-4 * -2 + y * -2) = -4(3 + -2y) (8 + -2y) = -4(3 + -2y) 8 + -2y = (3 * -4 + -2y * -4) 8 + -2y = (-12 + 8y) Solving 8 + -2y = -12 + 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. 8 + -2y + -8y = -12 + 8y + -8y Combine like terms: -2y + -8y = -10y 8 + -10y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 8 + -10y = -12 + 0 8 + -10y = -12 Add '-8' to each side of the equation. 8 + -8 + -10y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10y = -12 + -8 -10y = -12 + -8 Combine like terms: -12 + -8 = -20 -10y = -20 Divide each side by '-10'. y = 2 Simplifying y = 2
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