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Simplifying 2[3 + -6(y + -2)] = -60 + 3y Reorder the terms: 2[3 + -6(-2 + y)] = -60 + 3y 2[3 + (-2 * -6 + y * -6)] = -60 + 3y 2[3 + (12 + -6y)] = -60 + 3y Combine like terms: 3 + 12 = 15 2[15 + -6y] = -60 + 3y [15 * 2 + -6y * 2] = -60 + 3y [30 + -12y] = -60 + 3y Solving 30 + -12y = -60 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 30 + -12y + -3y = -60 + 3y + -3y Combine like terms: -12y + -3y = -15y 30 + -15y = -60 + 3y + -3y Combine like terms: 3y + -3y = 0 30 + -15y = -60 + 0 30 + -15y = -60 Add '-30' to each side of the equation. 30 + -30 + -15y = -60 + -30 Combine like terms: 30 + -30 = 0 0 + -15y = -60 + -30 -15y = -60 + -30 Combine like terms: -60 + -30 = -90 -15y = -90 Divide each side by '-15'. y = 6 Simplifying y = 6
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