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Simplifying 3(-1y + z + 4) + 2y + 4z = 17 Reorder the terms: 3(4 + -1y + z) + 2y + 4z = 17 (4 * 3 + -1y * 3 + z * 3) + 2y + 4z = 17 (12 + -3y + 3z) + 2y + 4z = 17 Reorder the terms: 12 + -3y + 2y + 3z + 4z = 17 Combine like terms: -3y + 2y = -1y 12 + -1y + 3z + 4z = 17 Combine like terms: 3z + 4z = 7z 12 + -1y + 7z = 17 Solving 12 + -1y + 7z = 17 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -1y + -12 + 7z = 17 + -12 Reorder the terms: 12 + -12 + -1y + 7z = 17 + -12 Combine like terms: 12 + -12 = 0 0 + -1y + 7z = 17 + -12 -1y + 7z = 17 + -12 Combine like terms: 17 + -12 = 5 -1y + 7z = 5 Add '-7z' to each side of the equation. -1y + 7z + -7z = 5 + -7z Combine like terms: 7z + -7z = 0 -1y + 0 = 5 + -7z -1y = 5 + -7z Divide each side by '-1'. y = -5 + 7z Simplifying y = -5 + 7z
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