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Simplifying -6 + -1(14y + -2) = 14y + -32 Reorder the terms: -6 + -1(-2 + 14y) = 14y + -32 -6 + (-2 * -1 + 14y * -1) = 14y + -32 -6 + (2 + -14y) = 14y + -32 Combine like terms: -6 + 2 = -4 -4 + -14y = 14y + -32 Reorder the terms: -4 + -14y = -32 + 14y Solving -4 + -14y = -32 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -4 + -14y + -14y = -32 + 14y + -14y Combine like terms: -14y + -14y = -28y -4 + -28y = -32 + 14y + -14y Combine like terms: 14y + -14y = 0 -4 + -28y = -32 + 0 -4 + -28y = -32 Add '4' to each side of the equation. -4 + 4 + -28y = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -28y = -32 + 4 -28y = -32 + 4 Combine like terms: -32 + 4 = -28 -28y = -28 Divide each side by '-28'. y = 1 Simplifying y = 1
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