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Simplifying 2y + 17 = 12 + -6(y + 7) Reorder the terms: 17 + 2y = 12 + -6(y + 7) Reorder the terms: 17 + 2y = 12 + -6(7 + y) 17 + 2y = 12 + (7 * -6 + y * -6) 17 + 2y = 12 + (-42 + -6y) Combine like terms: 12 + -42 = -30 17 + 2y = -30 + -6y Solving 17 + 2y = -30 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 17 + 2y + 6y = -30 + -6y + 6y Combine like terms: 2y + 6y = 8y 17 + 8y = -30 + -6y + 6y Combine like terms: -6y + 6y = 0 17 + 8y = -30 + 0 17 + 8y = -30 Add '-17' to each side of the equation. 17 + -17 + 8y = -30 + -17 Combine like terms: 17 + -17 = 0 0 + 8y = -30 + -17 8y = -30 + -17 Combine like terms: -30 + -17 = -47 8y = -47 Divide each side by '8'. y = -5.875 Simplifying y = -5.875
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