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Simplifying 7 + -1(3y + -6) = 4 + -4y Reorder the terms: 7 + -1(-6 + 3y) = 4 + -4y 7 + (-6 * -1 + 3y * -1) = 4 + -4y 7 + (6 + -3y) = 4 + -4y Combine like terms: 7 + 6 = 13 13 + -3y = 4 + -4y Solving 13 + -3y = 4 + -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 = 4 + -4y + 4y Combine like terms: -3y + 4y = 1y 13 + 1y = 4 + -4y + 4y Combine like terms: -4y + 4y = 0 13 + 1y = 4 + 0 13 + 1y = 4 Add '-13' to each side of the equation. 13 + -13 + 1y = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 1y = 4 + -13 1y = 4 + -13 Combine like terms: 4 + -13 = -9 1y = -9 Divide each side by '1'. y = -9 Simplifying y = -9
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