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Simplifying 57 + 5y + -12 = 17y + -11 + -4y Reorder the terms: 57 + -12 + 5y = 17y + -11 + -4y Combine like terms: 57 + -12 = 45 45 + 5y = 17y + -11 + -4y Reorder the terms: 45 + 5y = -11 + 17y + -4y Combine like terms: 17y + -4y = 13y 45 + 5y = -11 + 13y Solving 45 + 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. 45 + 5y + -13y = -11 + 13y + -13y Combine like terms: 5y + -13y = -8y 45 + -8y = -11 + 13y + -13y Combine like terms: 13y + -13y = 0 45 + -8y = -11 + 0 45 + -8y = -11 Add '-45' to each side of the equation. 45 + -45 + -8y = -11 + -45 Combine like terms: 45 + -45 = 0 0 + -8y = -11 + -45 -8y = -11 + -45 Combine like terms: -11 + -45 = -56 -8y = -56 Divide each side by '-8'. y = 7 Simplifying y = 7
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