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Simplifying 7 + -1(3y + -2) = 8 + -4y Reorder the terms: 7 + -1(-2 + 3y) = 8 + -4y 7 + (-2 * -1 + 3y * -1) = 8 + -4y 7 + (2 + -3y) = 8 + -4y Combine like terms: 7 + 2 = 9 9 + -3y = 8 + -4y Solving 9 + -3y = 8 + -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. 9 + -3y + 4y = 8 + -4y + 4y Combine like terms: -3y + 4y = 1y 9 + 1y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 9 + 1y = 8 + 0 9 + 1y = 8 Add '-9' to each side of the equation. 9 + -9 + 1y = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 8 + -9 1y = 8 + -9 Combine like terms: 8 + -9 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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