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Simplifying 76 + 5y + -29 = 15y + -9 + -2y Reorder the terms: 76 + -29 + 5y = 15y + -9 + -2y Combine like terms: 76 + -29 = 47 47 + 5y = 15y + -9 + -2y Reorder the terms: 47 + 5y = -9 + 15y + -2y Combine like terms: 15y + -2y = 13y 47 + 5y = -9 + 13y Solving 47 + 5y = -9 + 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. 47 + 5y + -13y = -9 + 13y + -13y Combine like terms: 5y + -13y = -8y 47 + -8y = -9 + 13y + -13y Combine like terms: 13y + -13y = 0 47 + -8y = -9 + 0 47 + -8y = -9 Add '-47' to each side of the equation. 47 + -47 + -8y = -9 + -47 Combine like terms: 47 + -47 = 0 0 + -8y = -9 + -47 -8y = -9 + -47 Combine like terms: -9 + -47 = -56 -8y = -56 Divide each side by '-8'. y = 7 Simplifying y = 7
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