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Simplifying 17 = -3(23 + -1y) + 2(y + 2) 17 = (23 * -3 + -1y * -3) + 2(y + 2) 17 = (-69 + 3y) + 2(y + 2) Reorder the terms: 17 = -69 + 3y + 2(2 + y) 17 = -69 + 3y + (2 * 2 + y * 2) 17 = -69 + 3y + (4 + 2y) Reorder the terms: 17 = -69 + 4 + 3y + 2y Combine like terms: -69 + 4 = -65 17 = -65 + 3y + 2y Combine like terms: 3y + 2y = 5y 17 = -65 + 5y Solving 17 = -65 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 17 + -5y = -65 + 5y + -5y Combine like terms: 5y + -5y = 0 17 + -5y = -65 + 0 17 + -5y = -65 Add '-17' to each side of the equation. 17 + -17 + -5y = -65 + -17 Combine like terms: 17 + -17 = 0 0 + -5y = -65 + -17 -5y = -65 + -17 Combine like terms: -65 + -17 = -82 -5y = -82 Divide each side by '-5'. y = 16.4 Simplifying y = 16.4
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