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Simplifying -5 + -1(15y + -11) = 2(7y + -16) + -1y Reorder the terms: -5 + -1(-11 + 15y) = 2(7y + -16) + -1y -5 + (-11 * -1 + 15y * -1) = 2(7y + -16) + -1y -5 + (11 + -15y) = 2(7y + -16) + -1y Combine like terms: -5 + 11 = 6 6 + -15y = 2(7y + -16) + -1y Reorder the terms: 6 + -15y = 2(-16 + 7y) + -1y 6 + -15y = (-16 * 2 + 7y * 2) + -1y 6 + -15y = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y 6 + -15y = -32 + 13y Solving 6 + -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. 6 + -15y + -13y = -32 + 13y + -13y Combine like terms: -15y + -13y = -28y 6 + -28y = -32 + 13y + -13y Combine like terms: 13y + -13y = 0 6 + -28y = -32 + 0 6 + -28y = -32 Add '-6' to each side of the equation. 6 + -6 + -28y = -32 + -6 Combine like terms: 6 + -6 = 0 0 + -28y = -32 + -6 -28y = -32 + -6 Combine like terms: -32 + -6 = -38 -28y = -38 Divide each side by '-28'. y = 1.357142857 Simplifying y = 1.357142857
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