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Simplifying 49 + 5y + -15 = 17y + -14 + -4y Reorder the terms: 49 + -15 + 5y = 17y + -14 + -4y Combine like terms: 49 + -15 = 34 34 + 5y = 17y + -14 + -4y Reorder the terms: 34 + 5y = -14 + 17y + -4y Combine like terms: 17y + -4y = 13y 34 + 5y = -14 + 13y Solving 34 + 5y = -14 + 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. 34 + 5y + -13y = -14 + 13y + -13y Combine like terms: 5y + -13y = -8y 34 + -8y = -14 + 13y + -13y Combine like terms: 13y + -13y = 0 34 + -8y = -14 + 0 34 + -8y = -14 Add '-34' to each side of the equation. 34 + -34 + -8y = -14 + -34 Combine like terms: 34 + -34 = 0 0 + -8y = -14 + -34 -8y = -14 + -34 Combine like terms: -14 + -34 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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