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Simplifying 9 + -4(2 + -1y) = 7y + -1(3 + y) 9 + (2 * -4 + -1y * -4) = 7y + -1(3 + y) 9 + (-8 + 4y) = 7y + -1(3 + y) Combine like terms: 9 + -8 = 1 1 + 4y = 7y + -1(3 + y) 1 + 4y = 7y + (3 * -1 + y * -1) 1 + 4y = 7y + (-3 + -1y) Reorder the terms: 1 + 4y = -3 + 7y + -1y Combine like terms: 7y + -1y = 6y 1 + 4y = -3 + 6y Solving 1 + 4y = -3 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 1 + 4y + -6y = -3 + 6y + -6y Combine like terms: 4y + -6y = -2y 1 + -2y = -3 + 6y + -6y Combine like terms: 6y + -6y = 0 1 + -2y = -3 + 0 1 + -2y = -3 Add '-1' to each side of the equation. 1 + -1 + -2y = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = -3 + -1 -2y = -3 + -1 Combine like terms: -3 + -1 = -4 -2y = -4 Divide each side by '-2'. y = 2 Simplifying y = 2
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