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Simplifying 2(135 + -2y + -1z) + 2y + 3z = 269 (135 * 2 + -2y * 2 + -1z * 2) + 2y + 3z = 269 (270 + -4y + -2z) + 2y + 3z = 269 Reorder the terms: 270 + -4y + 2y + -2z + 3z = 269 Combine like terms: -4y + 2y = -2y 270 + -2y + -2z + 3z = 269 Combine like terms: -2z + 3z = 1z 270 + -2y + 1z = 269 Solving 270 + -2y + 1z = 269 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-270' to each side of the equation. 270 + -2y + -270 + 1z = 269 + -270 Reorder the terms: 270 + -270 + -2y + 1z = 269 + -270 Combine like terms: 270 + -270 = 0 0 + -2y + 1z = 269 + -270 -2y + 1z = 269 + -270 Combine like terms: 269 + -270 = -1 -2y + 1z = -1 Add '-1z' to each side of the equation. -2y + 1z + -1z = -1 + -1z Combine like terms: 1z + -1z = 0 -2y + 0 = -1 + -1z -2y = -1 + -1z Divide each side by '-2'. y = 0.5 + 0.5z Simplifying y = 0.5 + 0.5z
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