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Simplifying 8 + -1(2y + 3) = 3 + -3y Reorder the terms: 8 + -1(3 + 2y) = 3 + -3y 8 + (3 * -1 + 2y * -1) = 3 + -3y 8 + (-3 + -2y) = 3 + -3y Combine like terms: 8 + -3 = 5 5 + -2y = 3 + -3y Solving 5 + -2y = 3 + -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. 5 + -2y + 3y = 3 + -3y + 3y Combine like terms: -2y + 3y = 1y 5 + 1y = 3 + -3y + 3y Combine like terms: -3y + 3y = 0 5 + 1y = 3 + 0 5 + 1y = 3 Add '-5' to each side of the equation. 5 + -5 + 1y = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 3 + -5 1y = 3 + -5 Combine like terms: 3 + -5 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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