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Simplifying 7y + -5 = -2y + 13 Reorder the terms: -5 + 7y = -2y + 13 Reorder the terms: -5 + 7y = 13 + -2y Solving -5 + 7y = 13 + -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. -5 + 7y + 2y = 13 + -2y + 2y Combine like terms: 7y + 2y = 9y -5 + 9y = 13 + -2y + 2y Combine like terms: -2y + 2y = 0 -5 + 9y = 13 + 0 -5 + 9y = 13 Add '5' to each side of the equation. -5 + 5 + 9y = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 9y = 13 + 5 9y = 13 + 5 Combine like terms: 13 + 5 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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