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Simplifying 17 + -4y = 27 + -1(7y + 31) Reorder the terms: 17 + -4y = 27 + -1(31 + 7y) 17 + -4y = 27 + (31 * -1 + 7y * -1) 17 + -4y = 27 + (-31 + -7y) Combine like terms: 27 + -31 = -4 17 + -4y = -4 + -7y Solving 17 + -4y = -4 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 17 + -4y + 7y = -4 + -7y + 7y Combine like terms: -4y + 7y = 3y 17 + 3y = -4 + -7y + 7y Combine like terms: -7y + 7y = 0 17 + 3y = -4 + 0 17 + 3y = -4 Add '-17' to each side of the equation. 17 + -17 + 3y = -4 + -17 Combine like terms: 17 + -17 = 0 0 + 3y = -4 + -17 3y = -4 + -17 Combine like terms: -4 + -17 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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