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Simplifying 4y + -5 = 13y + 31 Reorder the terms: -5 + 4y = 13y + 31 Reorder the terms: -5 + 4y = 31 + 13y Solving -5 + 4y = 31 + 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. -5 + 4y + -13y = 31 + 13y + -13y Combine like terms: 4y + -13y = -9y -5 + -9y = 31 + 13y + -13y Combine like terms: 13y + -13y = 0 -5 + -9y = 31 + 0 -5 + -9y = 31 Add '5' to each side of the equation. -5 + 5 + -9y = 31 + 5 Combine like terms: -5 + 5 = 0 0 + -9y = 31 + 5 -9y = 31 + 5 Combine like terms: 31 + 5 = 36 -9y = 36 Divide each side by '-9'. y = -4 Simplifying y = -4
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