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Simplifying -2(-4 + -6y) + 7(-1y + 5) = -8 (-4 * -2 + -6y * -2) + 7(-1y + 5) = -8 (8 + 12y) + 7(-1y + 5) = -8 Reorder the terms: 8 + 12y + 7(5 + -1y) = -8 8 + 12y + (5 * 7 + -1y * 7) = -8 8 + 12y + (35 + -7y) = -8 Reorder the terms: 8 + 35 + 12y + -7y = -8 Combine like terms: 8 + 35 = 43 43 + 12y + -7y = -8 Combine like terms: 12y + -7y = 5y 43 + 5y = -8 Solving 43 + 5y = -8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 5y = -8 + -43 Combine like terms: 43 + -43 = 0 0 + 5y = -8 + -43 5y = -8 + -43 Combine like terms: -8 + -43 = -51 5y = -51 Divide each side by '5'. y = -10.2 Simplifying y = -10.2
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