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Simplifying 46 + 5y + -17 = 15y + -11 + -2y Reorder the terms: 46 + -17 + 5y = 15y + -11 + -2y Combine like terms: 46 + -17 = 29 29 + 5y = 15y + -11 + -2y Reorder the terms: 29 + 5y = -11 + 15y + -2y Combine like terms: 15y + -2y = 13y 29 + 5y = -11 + 13y Solving 29 + 5y = -11 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 29 + 5y + -13y = -11 + 13y + -13y Combine like terms: 5y + -13y = -8y 29 + -8y = -11 + 13y + -13y Combine like terms: 13y + -13y = 0 29 + -8y = -11 + 0 29 + -8y = -11 Add '-29' to each side of the equation. 29 + -29 + -8y = -11 + -29 Combine like terms: 29 + -29 = 0 0 + -8y = -11 + -29 -8y = -11 + -29 Combine like terms: -11 + -29 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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