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Simplifying 54 + 5y + -13 = 16y + -13 + -2y Reorder the terms: 54 + -13 + 5y = 16y + -13 + -2y Combine like terms: 54 + -13 = 41 41 + 5y = 16y + -13 + -2y Reorder the terms: 41 + 5y = -13 + 16y + -2y Combine like terms: 16y + -2y = 14y 41 + 5y = -13 + 14y Solving 41 + 5y = -13 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 41 + 5y + -14y = -13 + 14y + -14y Combine like terms: 5y + -14y = -9y 41 + -9y = -13 + 14y + -14y Combine like terms: 14y + -14y = 0 41 + -9y = -13 + 0 41 + -9y = -13 Add '-41' to each side of the equation. 41 + -41 + -9y = -13 + -41 Combine like terms: 41 + -41 = 0 0 + -9y = -13 + -41 -9y = -13 + -41 Combine like terms: -13 + -41 = -54 -9y = -54 Divide each side by '-9'. y = 6 Simplifying y = 6
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