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