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Simplifying 6 + -1(3y + -7) = 5 + -4y Reorder the terms: 6 + -1(-7 + 3y) = 5 + -4y 6 + (-7 * -1 + 3y * -1) = 5 + -4y 6 + (7 + -3y) = 5 + -4y Combine like terms: 6 + 7 = 13 13 + -3y = 5 + -4y Solving 13 + -3y = 5 + -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. 13 + -3y + 4y = 5 + -4y + 4y Combine like terms: -3y + 4y = 1y 13 + 1y = 5 + -4y + 4y Combine like terms: -4y + 4y = 0 13 + 1y = 5 + 0 13 + 1y = 5 Add '-13' to each side of the equation. 13 + -13 + 1y = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 1y = 5 + -13 1y = 5 + -13 Combine like terms: 5 + -13 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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