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Simplifying -5 + -1(15y + -10) = 2(7y + -16) + -1y Reorder the terms: -5 + -1(-10 + 15y) = 2(7y + -16) + -1y -5 + (-10 * -1 + 15y * -1) = 2(7y + -16) + -1y -5 + (10 + -15y) = 2(7y + -16) + -1y Combine like terms: -5 + 10 = 5 5 + -15y = 2(7y + -16) + -1y Reorder the terms: 5 + -15y = 2(-16 + 7y) + -1y 5 + -15y = (-16 * 2 + 7y * 2) + -1y 5 + -15y = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y 5 + -15y = -32 + 13y Solving 5 + -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. 5 + -15y + -13y = -32 + 13y + -13y Combine like terms: -15y + -13y = -28y 5 + -28y = -32 + 13y + -13y Combine like terms: 13y + -13y = 0 5 + -28y = -32 + 0 5 + -28y = -32 Add '-5' to each side of the equation. 5 + -5 + -28y = -32 + -5 Combine like terms: 5 + -5 = 0 0 + -28y = -32 + -5 -28y = -32 + -5 Combine like terms: -32 + -5 = -37 -28y = -37 Divide each side by '-28'. y = 1.321428571 Simplifying y = 1.321428571
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