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Simplifying 2[8 + -3(4 + -1y)] = 3y + -5 2[8 + (4 * -3 + -1y * -3)] = 3y + -5 2[8 + (-12 + 3y)] = 3y + -5 Combine like terms: 8 + -12 = -4 2[-4 + 3y] = 3y + -5 [-4 * 2 + 3y * 2] = 3y + -5 [-8 + 6y] = 3y + -5 Reorder the terms: -8 + 6y = -5 + 3y Solving -8 + 6y = -5 + 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. -8 + 6y + -3y = -5 + 3y + -3y Combine like terms: 6y + -3y = 3y -8 + 3y = -5 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 3y = -5 + 0 -8 + 3y = -5 Add '8' to each side of the equation. -8 + 8 + 3y = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = -5 + 8 3y = -5 + 8 Combine like terms: -5 + 8 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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