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Simplifying 38 + 3y + -15 = 13y + -13 + -4y Reorder the terms: 38 + -15 + 3y = 13y + -13 + -4y Combine like terms: 38 + -15 = 23 23 + 3y = 13y + -13 + -4y Reorder the terms: 23 + 3y = -13 + 13y + -4y Combine like terms: 13y + -4y = 9y 23 + 3y = -13 + 9y Solving 23 + 3y = -13 + 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. 23 + 3y + -9y = -13 + 9y + -9y Combine like terms: 3y + -9y = -6y 23 + -6y = -13 + 9y + -9y Combine like terms: 9y + -9y = 0 23 + -6y = -13 + 0 23 + -6y = -13 Add '-23' to each side of the equation. 23 + -23 + -6y = -13 + -23 Combine like terms: 23 + -23 = 0 0 + -6y = -13 + -23 -6y = -13 + -23 Combine like terms: -13 + -23 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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