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Simplifying 47 + 5y + -12 = 17y + -13 + -4y Reorder the terms: 47 + -12 + 5y = 17y + -13 + -4y Combine like terms: 47 + -12 = 35 35 + 5y = 17y + -13 + -4y Reorder the terms: 35 + 5y = -13 + 17y + -4y Combine like terms: 17y + -4y = 13y 35 + 5y = -13 + 13y Solving 35 + 5y = -13 + 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. 35 + 5y + -13y = -13 + 13y + -13y Combine like terms: 5y + -13y = -8y 35 + -8y = -13 + 13y + -13y Combine like terms: 13y + -13y = 0 35 + -8y = -13 + 0 35 + -8y = -13 Add '-35' to each side of the equation. 35 + -35 + -8y = -13 + -35 Combine like terms: 35 + -35 = 0 0 + -8y = -13 + -35 -8y = -13 + -35 Combine like terms: -13 + -35 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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