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Simplifying 3y + -2[y + -3(2 + -3y) + 5] = 18 3y + -2[y + (2 * -3 + -3y * -3) + 5] = 18 3y + -2[y + (-6 + 9y) + 5] = 18 Reorder the terms: 3y + -2[-6 + 5 + y + 9y] = 18 Combine like terms: -6 + 5 = -1 3y + -2[-1 + y + 9y] = 18 Combine like terms: y + 9y = 10y 3y + -2[-1 + 10y] = 18 3y + [-1 * -2 + 10y * -2] = 18 3y + [2 + -20y] = 18 Reorder the terms: 2 + 3y + -20y = 18 Combine like terms: 3y + -20y = -17y 2 + -17y = 18 Solving 2 + -17y = 18 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -17y = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -17y = 18 + -2 -17y = 18 + -2 Combine like terms: 18 + -2 = 16 -17y = 16 Divide each side by '-17'. y = -0.9411764706 Simplifying y = -0.9411764706
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