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Simplifying 5(y + 3) + -1(2y + -1) = -5 Reorder the terms: 5(3 + y) + -1(2y + -1) = -5 (3 * 5 + y * 5) + -1(2y + -1) = -5 (15 + 5y) + -1(2y + -1) = -5 Reorder the terms: 15 + 5y + -1(-1 + 2y) = -5 15 + 5y + (-1 * -1 + 2y * -1) = -5 15 + 5y + (1 + -2y) = -5 Reorder the terms: 15 + 1 + 5y + -2y = -5 Combine like terms: 15 + 1 = 16 16 + 5y + -2y = -5 Combine like terms: 5y + -2y = 3y 16 + 3y = -5 Solving 16 + 3y = -5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3y = -5 + -16 Combine like terms: 16 + -16 = 0 0 + 3y = -5 + -16 3y = -5 + -16 Combine like terms: -5 + -16 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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