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Simplifying 6 + -1(3y + -5) = 3 + -4y Reorder the terms: 6 + -1(-5 + 3y) = 3 + -4y 6 + (-5 * -1 + 3y * -1) = 3 + -4y 6 + (5 + -3y) = 3 + -4y Combine like terms: 6 + 5 = 11 11 + -3y = 3 + -4y Solving 11 + -3y = 3 + -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. 11 + -3y + 4y = 3 + -4y + 4y Combine like terms: -3y + 4y = 1y 11 + 1y = 3 + -4y + 4y Combine like terms: -4y + 4y = 0 11 + 1y = 3 + 0 11 + 1y = 3 Add '-11' to each side of the equation. 11 + -11 + 1y = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 1y = 3 + -11 1y = 3 + -11 Combine like terms: 3 + -11 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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