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Simplifying y = 7 + -3[6 + -1(2y + -2)] Reorder the terms: y = 7 + -3[6 + -1(-2 + 2y)] y = 7 + -3[6 + (-2 * -1 + 2y * -1)] y = 7 + -3[6 + (2 + -2y)] Combine like terms: 6 + 2 = 8 y = 7 + -3[8 + -2y] y = 7 + [8 * -3 + -2y * -3] y = 7 + [-24 + 6y] Combine like terms: 7 + -24 = -17 y = -17 + 6y Solving y = -17 + 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. y + -6y = -17 + 6y + -6y Combine like terms: y + -6y = -5y -5y = -17 + 6y + -6y Combine like terms: 6y + -6y = 0 -5y = -17 + 0 -5y = -17 Divide each side by '-5'. y = 3.4 Simplifying y = 3.4
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