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