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Simplifying 51 + 6y + -15 = 17y + -12 + -3y Reorder the terms: 51 + -15 + 6y = 17y + -12 + -3y Combine like terms: 51 + -15 = 36 36 + 6y = 17y + -12 + -3y Reorder the terms: 36 + 6y = -12 + 17y + -3y Combine like terms: 17y + -3y = 14y 36 + 6y = -12 + 14y Solving 36 + 6y = -12 + 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. 36 + 6y + -14y = -12 + 14y + -14y Combine like terms: 6y + -14y = -8y 36 + -8y = -12 + 14y + -14y Combine like terms: 14y + -14y = 0 36 + -8y = -12 + 0 36 + -8y = -12 Add '-36' to each side of the equation. 36 + -36 + -8y = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -8y = -12 + -36 -8y = -12 + -36 Combine like terms: -12 + -36 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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