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Simplifying -1x + 7y + 2 = -1x + 2y + -3 Reorder the terms: 2 + -1x + 7y = -1x + 2y + -3 Reorder the terms: 2 + -1x + 7y = -3 + -1x + 2y Add 'x' to each side of the equation. 2 + -1x + x + 7y = -3 + -1x + x + 2y Combine like terms: -1x + x = 0 2 + 0 + 7y = -3 + -1x + x + 2y 2 + 7y = -3 + -1x + x + 2y Combine like terms: -1x + x = 0 2 + 7y = -3 + 0 + 2y 2 + 7y = -3 + 2y Solving 2 + 7y = -3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 2 + 7y + -2y = -3 + 2y + -2y Combine like terms: 7y + -2y = 5y 2 + 5y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + 5y = -3 + 0 2 + 5y = -3 Add '-2' to each side of the equation. 2 + -2 + 5y = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = -3 + -2 5y = -3 + -2 Combine like terms: -3 + -2 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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