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