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Simplifying 6 + -1(4y + -2) = 2 + -5y Reorder the terms: 6 + -1(-2 + 4y) = 2 + -5y 6 + (-2 * -1 + 4y * -1) = 2 + -5y 6 + (2 + -4y) = 2 + -5y Combine like terms: 6 + 2 = 8 8 + -4y = 2 + -5y Solving 8 + -4y = 2 + -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. 8 + -4y + 5y = 2 + -5y + 5y Combine like terms: -4y + 5y = 1y 8 + 1y = 2 + -5y + 5y Combine like terms: -5y + 5y = 0 8 + 1y = 2 + 0 8 + 1y = 2 Add '-8' to each side of the equation. 8 + -8 + 1y = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 2 + -8 1y = 2 + -8 Combine like terms: 2 + -8 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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