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Simplifying 7 + -1(3y + -9) = 1 + -4y Reorder the terms: 7 + -1(-9 + 3y) = 1 + -4y 7 + (-9 * -1 + 3y * -1) = 1 + -4y 7 + (9 + -3y) = 1 + -4y Combine like terms: 7 + 9 = 16 16 + -3y = 1 + -4y Solving 16 + -3y = 1 + -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. 16 + -3y + 4y = 1 + -4y + 4y Combine like terms: -3y + 4y = 1y 16 + 1y = 1 + -4y + 4y Combine like terms: -4y + 4y = 0 16 + 1y = 1 + 0 16 + 1y = 1 Add '-16' to each side of the equation. 16 + -16 + 1y = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 1y = 1 + -16 1y = 1 + -16 Combine like terms: 1 + -16 = -15 1y = -15 Divide each side by '1'. y = -15 Simplifying y = -15
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