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Simplifying -5(-3y + -2) = 2(7y + -16) + -1y Reorder the terms: -5(-2 + -3y) = 2(7y + -16) + -1y (-2 * -5 + -3y * -5) = 2(7y + -16) + -1y (10 + 15y) = 2(7y + -16) + -1y Reorder the terms: 10 + 15y = 2(-16 + 7y) + -1y 10 + 15y = (-16 * 2 + 7y * 2) + -1y 10 + 15y = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y 10 + 15y = -32 + 13y Solving 10 + 15y = -32 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 10 + 15y + -13y = -32 + 13y + -13y Combine like terms: 15y + -13y = 2y 10 + 2y = -32 + 13y + -13y Combine like terms: 13y + -13y = 0 10 + 2y = -32 + 0 10 + 2y = -32 Add '-10' to each side of the equation. 10 + -10 + 2y = -32 + -10 Combine like terms: 10 + -10 = 0 0 + 2y = -32 + -10 2y = -32 + -10 Combine like terms: -32 + -10 = -42 2y = -42 Divide each side by '2'. y = -21 Simplifying y = -21
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