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Simplifying 4(2y + 3) + -2z = 54 Reorder the terms: 4(3 + 2y) + -2z = 54 (3 * 4 + 2y * 4) + -2z = 54 (12 + 8y) + -2z = 54 Solving 12 + 8y + -2z = 54 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 + 8y + -12 + -2z = 54 + -12 Reorder the terms: 12 + -12 + 8y + -2z = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 8y + -2z = 54 + -12 8y + -2z = 54 + -12 Combine like terms: 54 + -12 = 42 8y + -2z = 42 Add '2z' to each side of the equation. 8y + -2z + 2z = 42 + 2z Combine like terms: -2z + 2z = 0 8y + 0 = 42 + 2z 8y = 42 + 2z Divide each side by '8'. y = 5.25 + 0.25z Simplifying y = 5.25 + 0.25z
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