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Simplifying 3(11 + -6y + -6z) + 19y + 22z = 35 (11 * 3 + -6y * 3 + -6z * 3) + 19y + 22z = 35 (33 + -18y + -18z) + 19y + 22z = 35 Reorder the terms: 33 + -18y + 19y + -18z + 22z = 35 Combine like terms: -18y + 19y = 1y 33 + 1y + -18z + 22z = 35 Combine like terms: -18z + 22z = 4z 33 + 1y + 4z = 35 Solving 33 + 1y + 4z = 35 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + 1y + -33 + 4z = 35 + -33 Reorder the terms: 33 + -33 + 1y + 4z = 35 + -33 Combine like terms: 33 + -33 = 0 0 + 1y + 4z = 35 + -33 1y + 4z = 35 + -33 Combine like terms: 35 + -33 = 2 1y + 4z = 2 Add '-4z' to each side of the equation. 1y + 4z + -4z = 2 + -4z Combine like terms: 4z + -4z = 0 1y + 0 = 2 + -4z 1y = 2 + -4z Divide each side by '1'. y = 2 + -4z Simplifying y = 2 + -4z
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