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Simplifying 7 + -1(3y + -4) = 6 + -4y Reorder the terms: 7 + -1(-4 + 3y) = 6 + -4y 7 + (-4 * -1 + 3y * -1) = 6 + -4y 7 + (4 + -3y) = 6 + -4y Combine like terms: 7 + 4 = 11 11 + -3y = 6 + -4y Solving 11 + -3y = 6 + -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 = 6 + -4y + 4y Combine like terms: -3y + 4y = 1y 11 + 1y = 6 + -4y + 4y Combine like terms: -4y + 4y = 0 11 + 1y = 6 + 0 11 + 1y = 6 Add '-11' to each side of the equation. 11 + -11 + 1y = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 1y = 6 + -11 1y = 6 + -11 Combine like terms: 6 + -11 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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