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Simplifying 8(y + 4) + -15 = 27 + -2(3y + -6) Reorder the terms: 8(4 + y) + -15 = 27 + -2(3y + -6) (4 * 8 + y * 8) + -15 = 27 + -2(3y + -6) (32 + 8y) + -15 = 27 + -2(3y + -6) Reorder the terms: 32 + -15 + 8y = 27 + -2(3y + -6) Combine like terms: 32 + -15 = 17 17 + 8y = 27 + -2(3y + -6) Reorder the terms: 17 + 8y = 27 + -2(-6 + 3y) 17 + 8y = 27 + (-6 * -2 + 3y * -2) 17 + 8y = 27 + (12 + -6y) Combine like terms: 27 + 12 = 39 17 + 8y = 39 + -6y Solving 17 + 8y = 39 + -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 + 8y + 6y = 39 + -6y + 6y Combine like terms: 8y + 6y = 14y 17 + 14y = 39 + -6y + 6y Combine like terms: -6y + 6y = 0 17 + 14y = 39 + 0 17 + 14y = 39 Add '-17' to each side of the equation. 17 + -17 + 14y = 39 + -17 Combine like terms: 17 + -17 = 0 0 + 14y = 39 + -17 14y = 39 + -17 Combine like terms: 39 + -17 = 22 14y = 22 Divide each side by '14'. y = 1.571428571 Simplifying y = 1.571428571
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