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Simplifying -3(8y + -2) = 32 + 2y Reorder the terms: -3(-2 + 8y) = 32 + 2y (-2 * -3 + 8y * -3) = 32 + 2y (6 + -24y) = 32 + 2y Solving 6 + -24y = 32 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 6 + -24y + -2y = 32 + 2y + -2y Combine like terms: -24y + -2y = -26y 6 + -26y = 32 + 2y + -2y Combine like terms: 2y + -2y = 0 6 + -26y = 32 + 0 6 + -26y = 32 Add '-6' to each side of the equation. 6 + -6 + -26y = 32 + -6 Combine like terms: 6 + -6 = 0 0 + -26y = 32 + -6 -26y = 32 + -6 Combine like terms: 32 + -6 = 26 -26y = 26 Divide each side by '-26'. y = -1 Simplifying y = -1
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