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Simplifying 8 + -1(2y + -7) = 3 + -3y Reorder the terms: 8 + -1(-7 + 2y) = 3 + -3y 8 + (-7 * -1 + 2y * -1) = 3 + -3y 8 + (7 + -2y) = 3 + -3y Combine like terms: 8 + 7 = 15 15 + -2y = 3 + -3y Solving 15 + -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. 15 + -2y + 3y = 3 + -3y + 3y Combine like terms: -2y + 3y = 1y 15 + 1y = 3 + -3y + 3y Combine like terms: -3y + 3y = 0 15 + 1y = 3 + 0 15 + 1y = 3 Add '-15' to each side of the equation. 15 + -15 + 1y = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 1y = 3 + -15 1y = 3 + -15 Combine like terms: 3 + -15 = -12 1y = -12 Divide each side by '1'. y = -12 Simplifying y = -12
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