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Simplifying 7y + 13 = 9y + -5 Reorder the terms: 13 + 7y = 9y + -5 Reorder the terms: 13 + 7y = -5 + 9y Solving 13 + 7y = -5 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 13 + 7y + -9y = -5 + 9y + -9y Combine like terms: 7y + -9y = -2y 13 + -2y = -5 + 9y + -9y Combine like terms: 9y + -9y = 0 13 + -2y = -5 + 0 13 + -2y = -5 Add '-13' to each side of the equation. 13 + -13 + -2y = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -2y = -5 + -13 -2y = -5 + -13 Combine like terms: -5 + -13 = -18 -2y = -18 Divide each side by '-2'. y = 9 Simplifying y = 9
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