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Simplifying 17 + -5(y + -2) = 45 + 8(2y + -3) + -39y Reorder the terms: 17 + -5(-2 + y) = 45 + 8(2y + -3) + -39y 17 + (-2 * -5 + y * -5) = 45 + 8(2y + -3) + -39y 17 + (10 + -5y) = 45 + 8(2y + -3) + -39y Combine like terms: 17 + 10 = 27 27 + -5y = 45 + 8(2y + -3) + -39y Reorder the terms: 27 + -5y = 45 + 8(-3 + 2y) + -39y 27 + -5y = 45 + (-3 * 8 + 2y * 8) + -39y 27 + -5y = 45 + (-24 + 16y) + -39y Combine like terms: 45 + -24 = 21 27 + -5y = 21 + 16y + -39y Combine like terms: 16y + -39y = -23y 27 + -5y = 21 + -23y Solving 27 + -5y = 21 + -23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23y' to each side of the equation. 27 + -5y + 23y = 21 + -23y + 23y Combine like terms: -5y + 23y = 18y 27 + 18y = 21 + -23y + 23y Combine like terms: -23y + 23y = 0 27 + 18y = 21 + 0 27 + 18y = 21 Add '-27' to each side of the equation. 27 + -27 + 18y = 21 + -27 Combine like terms: 27 + -27 = 0 0 + 18y = 21 + -27 18y = 21 + -27 Combine like terms: 21 + -27 = -6 18y = -6 Divide each side by '18'. y = -0.3333333333 Simplifying y = -0.3333333333
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