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Simplifying 6y + 14 = 7y + 2y + -13 Reorder the terms: 14 + 6y = 7y + 2y + -13 Reorder the terms: 14 + 6y = -13 + 7y + 2y Combine like terms: 7y + 2y = 9y 14 + 6y = -13 + 9y Solving 14 + 6y = -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. 14 + 6y + -9y = -13 + 9y + -9y Combine like terms: 6y + -9y = -3y 14 + -3y = -13 + 9y + -9y Combine like terms: 9y + -9y = 0 14 + -3y = -13 + 0 14 + -3y = -13 Add '-14' to each side of the equation. 14 + -14 + -3y = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -3y = -13 + -14 -3y = -13 + -14 Combine like terms: -13 + -14 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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