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Simplifying -5 + -1(15 + -1) = 2(7y + -16) + -1y Combine like terms: 15 + -1 = 14 -5 + -1(14) = 2(7y + -16) + -1y Multiply -1 * 14 -5 + -14 = 2(7y + -16) + -1y Combine like terms: -5 + -14 = -19 -19 = 2(7y + -16) + -1y Reorder the terms: -19 = 2(-16 + 7y) + -1y -19 = (-16 * 2 + 7y * 2) + -1y -19 = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y -19 = -32 + 13y Solving -19 = -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. -19 + -13y = -32 + 13y + -13y Combine like terms: 13y + -13y = 0 -19 + -13y = -32 + 0 -19 + -13y = -32 Add '19' to each side of the equation. -19 + 19 + -13y = -32 + 19 Combine like terms: -19 + 19 = 0 0 + -13y = -32 + 19 -13y = -32 + 19 Combine like terms: -32 + 19 = -13 -13y = -13 Divide each side by '-13'. y = 1 Simplifying y = 1
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