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Simplifying 5 + -1y + 3z = -7 Solving 5 + -1y + 3z = -7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1y + -5 + 3z = -7 + -5 Reorder the terms: 5 + -5 + -1y + 3z = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1y + 3z = -7 + -5 -1y + 3z = -7 + -5 Combine like terms: -7 + -5 = -12 -1y + 3z = -12 Add '-3z' to each side of the equation. -1y + 3z + -3z = -12 + -3z Combine like terms: 3z + -3z = 0 -1y + 0 = -12 + -3z -1y = -12 + -3z Divide each side by '-1'. y = 12 + 3z Simplifying y = 12 + 3z
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