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Simplifying 45 + 5y + -13 = 16y + -13 + -2y Reorder the terms: 45 + -13 + 5y = 16y + -13 + -2y Combine like terms: 45 + -13 = 32 32 + 5y = 16y + -13 + -2y Reorder the terms: 32 + 5y = -13 + 16y + -2y Combine like terms: 16y + -2y = 14y 32 + 5y = -13 + 14y Solving 32 + 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. 32 + 5y + -14y = -13 + 14y + -14y Combine like terms: 5y + -14y = -9y 32 + -9y = -13 + 14y + -14y Combine like terms: 14y + -14y = 0 32 + -9y = -13 + 0 32 + -9y = -13 Add '-32' to each side of the equation. 32 + -32 + -9y = -13 + -32 Combine like terms: 32 + -32 = 0 0 + -9y = -13 + -32 -9y = -13 + -32 Combine like terms: -13 + -32 = -45 -9y = -45 Divide each side by '-9'. y = 5 Simplifying y = 5
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