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Simplifying 27 + 3y + -10 = 13y + -13 + -4y Reorder the terms: 27 + -10 + 3y = 13y + -13 + -4y Combine like terms: 27 + -10 = 17 17 + 3y = 13y + -13 + -4y Reorder the terms: 17 + 3y = -13 + 13y + -4y Combine like terms: 13y + -4y = 9y 17 + 3y = -13 + 9y Solving 17 + 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. 17 + 3y + -9y = -13 + 9y + -9y Combine like terms: 3y + -9y = -6y 17 + -6y = -13 + 9y + -9y Combine like terms: 9y + -9y = 0 17 + -6y = -13 + 0 17 + -6y = -13 Add '-17' to each side of the equation. 17 + -17 + -6y = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -6y = -13 + -17 -6y = -13 + -17 Combine like terms: -13 + -17 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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