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