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Simplifying 8 + -2(3 + -4y) = 7y + -11 8 + (3 * -2 + -4y * -2) = 7y + -11 8 + (-6 + 8y) = 7y + -11 Combine like terms: 8 + -6 = 2 2 + 8y = 7y + -11 Reorder the terms: 2 + 8y = -11 + 7y Solving 2 + 8y = -11 + 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 = -11 + 7y + -7y Combine like terms: 8y + -7y = 1y 2 + 1y = -11 + 7y + -7y Combine like terms: 7y + -7y = 0 2 + 1y = -11 + 0 2 + 1y = -11 Add '-2' to each side of the equation. 2 + -2 + 1y = -11 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = -11 + -2 1y = -11 + -2 Combine like terms: -11 + -2 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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