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Simplifying 7y + -9 = 13y + 45 Reorder the terms: -9 + 7y = 13y + 45 Reorder the terms: -9 + 7y = 45 + 13y Solving -9 + 7y = 45 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -9 + 7y + -13y = 45 + 13y + -13y Combine like terms: 7y + -13y = -6y -9 + -6y = 45 + 13y + -13y Combine like terms: 13y + -13y = 0 -9 + -6y = 45 + 0 -9 + -6y = 45 Add '9' to each side of the equation. -9 + 9 + -6y = 45 + 9 Combine like terms: -9 + 9 = 0 0 + -6y = 45 + 9 -6y = 45 + 9 Combine like terms: 45 + 9 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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