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Simplifying 2(4 + 4y + 2) + 11y + 4z = 23 Reorder the terms: 2(4 + 2 + 4y) + 11y + 4z = 23 Combine like terms: 4 + 2 = 6 2(6 + 4y) + 11y + 4z = 23 (6 * 2 + 4y * 2) + 11y + 4z = 23 (12 + 8y) + 11y + 4z = 23 Combine like terms: 8y + 11y = 19y 12 + 19y + 4z = 23 Solving 12 + 19y + 4z = 23 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 + 19y + -12 + 4z = 23 + -12 Reorder the terms: 12 + -12 + 19y + 4z = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 19y + 4z = 23 + -12 19y + 4z = 23 + -12 Combine like terms: 23 + -12 = 11 19y + 4z = 11 Add '-4z' to each side of the equation. 19y + 4z + -4z = 11 + -4z Combine like terms: 4z + -4z = 0 19y + 0 = 11 + -4z 19y = 11 + -4z Divide each side by '19'. y = 0.5789473684 + -0.2105263158z Simplifying y = 0.5789473684 + -0.2105263158z
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