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