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Simplifying 38 + 4y + -11 = 14y + -13 + -2y Reorder the terms: 38 + -11 + 4y = 14y + -13 + -2y Combine like terms: 38 + -11 = 27 27 + 4y = 14y + -13 + -2y Reorder the terms: 27 + 4y = -13 + 14y + -2y Combine like terms: 14y + -2y = 12y 27 + 4y = -13 + 12y Solving 27 + 4y = -13 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 27 + 4y + -12y = -13 + 12y + -12y Combine like terms: 4y + -12y = -8y 27 + -8y = -13 + 12y + -12y Combine like terms: 12y + -12y = 0 27 + -8y = -13 + 0 27 + -8y = -13 Add '-27' to each side of the equation. 27 + -27 + -8y = -13 + -27 Combine like terms: 27 + -27 = 0 0 + -8y = -13 + -27 -8y = -13 + -27 Combine like terms: -13 + -27 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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