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Simplifying -3(-2) + -1y + 2z = 7 Multiply -3 * -2 6 + -1y + 2z = 7 Solving 6 + -1y + 2z = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1y + -6 + 2z = 7 + -6 Reorder the terms: 6 + -6 + -1y + 2z = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -1y + 2z = 7 + -6 -1y + 2z = 7 + -6 Combine like terms: 7 + -6 = 1 -1y + 2z = 1 Add '-2z' to each side of the equation. -1y + 2z + -2z = 1 + -2z Combine like terms: 2z + -2z = 0 -1y + 0 = 1 + -2z -1y = 1 + -2z Divide each side by '-1'. y = -1 + 2z Simplifying y = -1 + 2z
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