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Simplifying 40 + -1y + z = 77 Solving 40 + -1y + z = 77 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -1y + -40 + z = 77 + -40 Reorder the terms: 40 + -40 + -1y + z = 77 + -40 Combine like terms: 40 + -40 = 0 0 + -1y + z = 77 + -40 -1y + z = 77 + -40 Combine like terms: 77 + -40 = 37 -1y + z = 37 Add '-1z' to each side of the equation. -1y + z + -1z = 37 + -1z Combine like terms: z + -1z = 0 -1y + 0 = 37 + -1z -1y = 37 + -1z Divide each side by '-1'. y = -37 + z Simplifying y = -37 + z
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