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Simplifying 5(y + 2) = -1(8 + -3y) Reorder the terms: 5(2 + y) = -1(8 + -3y) (2 * 5 + y * 5) = -1(8 + -3y) (10 + 5y) = -1(8 + -3y) 10 + 5y = (8 * -1 + -3y * -1) 10 + 5y = (-8 + 3y) Solving 10 + 5y = -8 + 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. 10 + 5y + -3y = -8 + 3y + -3y Combine like terms: 5y + -3y = 2y 10 + 2y = -8 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + 2y = -8 + 0 10 + 2y = -8 Add '-10' to each side of the equation. 10 + -10 + 2y = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 2y = -8 + -10 2y = -8 + -10 Combine like terms: -8 + -10 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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