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Simplifying 8 + -2[3 + -4y] = 7y 8 + [3 * -2 + -4y * -2] = 7y 8 + [-6 + 8y] = 7y Combine like terms: 8 + -6 = 2 2 + 8y = 7y Solving 2 + 8y = 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 2 + 8y + -7y = 7y + -7y Combine like terms: 8y + -7y = 1y 2 + 1y = 7y + -7y Combine like terms: 7y + -7y = 0 2 + 1y = 0 Add '-2' to each side of the equation. 2 + -2 + 1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 0 + -2 1y = 0 + -2 Combine like terms: 0 + -2 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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