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