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