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Simplifying 10 + -1y + -1z + 3y + 2z = 48 Reorder the terms: 10 + -1y + 3y + -1z + 2z = 48 Combine like terms: -1y + 3y = 2y 10 + 2y + -1z + 2z = 48 Combine like terms: -1z + 2z = 1z 10 + 2y + 1z = 48 Solving 10 + 2y + 1z = 48 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2y + -10 + 1z = 48 + -10 Reorder the terms: 10 + -10 + 2y + 1z = 48 + -10 Combine like terms: 10 + -10 = 0 0 + 2y + 1z = 48 + -10 2y + 1z = 48 + -10 Combine like terms: 48 + -10 = 38 2y + 1z = 38 Add '-1z' to each side of the equation. 2y + 1z + -1z = 38 + -1z Combine like terms: 1z + -1z = 0 2y + 0 = 38 + -1z 2y = 38 + -1z Divide each side by '2'. y = 19 + -0.5z Simplifying y = 19 + -0.5z
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