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Simplifying 6 + -1(3y + -1) = 8 + -4y Reorder the terms: 6 + -1(-1 + 3y) = 8 + -4y 6 + (-1 * -1 + 3y * -1) = 8 + -4y 6 + (1 + -3y) = 8 + -4y Combine like terms: 6 + 1 = 7 7 + -3y = 8 + -4y Solving 7 + -3y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 7 + -3y + 4y = 8 + -4y + 4y Combine like terms: -3y + 4y = 1y 7 + 1y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 7 + 1y = 8 + 0 7 + 1y = 8 Add '-7' to each side of the equation. 7 + -7 + 1y = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 8 + -7 1y = 8 + -7 Combine like terms: 8 + -7 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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