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Simplifying -5 + -1(15y + -1y) = 2(7y + -16) + -1y Combine like terms: 15y + -1y = 14y -5 + -1(14y) = 2(7y + -16) + -1y Remove parenthesis around (14y) -5 + -1 * 14y = 2(7y + -16) + -1y Multiply -1 * 14 -5 + -14y = 2(7y + -16) + -1y Reorder the terms: -5 + -14y = 2(-16 + 7y) + -1y -5 + -14y = (-16 * 2 + 7y * 2) + -1y -5 + -14y = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y -5 + -14y = -32 + 13y Solving -5 + -14y = -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 + -14y + -13y = -32 + 13y + -13y Combine like terms: -14y + -13y = -27y -5 + -27y = -32 + 13y + -13y Combine like terms: 13y + -13y = 0 -5 + -27y = -32 + 0 -5 + -27y = -32 Add '5' to each side of the equation. -5 + 5 + -27y = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -27y = -32 + 5 -27y = -32 + 5 Combine like terms: -32 + 5 = -27 -27y = -27 Divide each side by '-27'. y = 1 Simplifying y = 1
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