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Simplifying -3(12 + -5y + -1z) + -14y + -5z = -31 (12 * -3 + -5y * -3 + -1z * -3) + -14y + -5z = -31 (-36 + 15y + 3z) + -14y + -5z = -31 Reorder the terms: -36 + 15y + -14y + 3z + -5z = -31 Combine like terms: 15y + -14y = 1y -36 + 1y + 3z + -5z = -31 Combine like terms: 3z + -5z = -2z -36 + 1y + -2z = -31 Solving -36 + 1y + -2z = -31 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 1y + 36 + -2z = -31 + 36 Reorder the terms: -36 + 36 + 1y + -2z = -31 + 36 Combine like terms: -36 + 36 = 0 0 + 1y + -2z = -31 + 36 1y + -2z = -31 + 36 Combine like terms: -31 + 36 = 5 1y + -2z = 5 Add '2z' to each side of the equation. 1y + -2z + 2z = 5 + 2z Combine like terms: -2z + 2z = 0 1y + 0 = 5 + 2z 1y = 5 + 2z Divide each side by '1'. y = 5 + 2z Simplifying y = 5 + 2z
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