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Simplifying 4 + 7y + -30 = 40 + 13y Reorder the terms: 4 + -30 + 7y = 40 + 13y Combine like terms: 4 + -30 = -26 -26 + 7y = 40 + 13y Solving -26 + 7y = 40 + 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. -26 + 7y + -13y = 40 + 13y + -13y Combine like terms: 7y + -13y = -6y -26 + -6y = 40 + 13y + -13y Combine like terms: 13y + -13y = 0 -26 + -6y = 40 + 0 -26 + -6y = 40 Add '26' to each side of the equation. -26 + 26 + -6y = 40 + 26 Combine like terms: -26 + 26 = 0 0 + -6y = 40 + 26 -6y = 40 + 26 Combine like terms: 40 + 26 = 66 -6y = 66 Divide each side by '-6'. y = -11 Simplifying y = -11
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