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Simplifying 2y + -1[3 + -4(5 + -2y) + -3y] = 0 2y + -1[3 + (5 * -4 + -2y * -4) + -3y] = 0 2y + -1[3 + (-20 + 8y) + -3y] = 0 Combine like terms: 3 + -20 = -17 2y + -1[-17 + 8y + -3y] = 0 Combine like terms: 8y + -3y = 5y 2y + -1[-17 + 5y] = 0 2y + [-17 * -1 + 5y * -1] = 0 2y + [17 + -5y] = 0 Reorder the terms: 17 + 2y + -5y = 0 Combine like terms: 2y + -5y = -3y 17 + -3y = 0 Solving 17 + -3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3y = 0 + -17 -3y = 0 + -17 Combine like terms: 0 + -17 = -17 -3y = -17 Divide each side by '-3'. y = 5.666666667 Simplifying y = 5.666666667
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