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Simplifying 2(2 + -1.5y + 2z) + z = 1 (2 * 2 + -1.5y * 2 + 2z * 2) + z = 1 (4 + -3y + 4z) + z = 1 Combine like terms: 4z + z = 5z 4 + -3y + 5z = 1 Solving 4 + -3y + 5z = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3y + -4 + 5z = 1 + -4 Reorder the terms: 4 + -4 + -3y + 5z = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -3y + 5z = 1 + -4 -3y + 5z = 1 + -4 Combine like terms: 1 + -4 = -3 -3y + 5z = -3 Add '-5z' to each side of the equation. -3y + 5z + -5z = -3 + -5z Combine like terms: 5z + -5z = 0 -3y + 0 = -3 + -5z -3y = -3 + -5z Divide each side by '-3'. y = 1 + 1.666666667z Simplifying y = 1 + 1.666666667z
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