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Simplifying -3[(3y + 3) + -1(8y + -8)] = 6(1 + -1y) + -2 Reorder the terms: -3[(3 + 3y) + -1(8y + -8)] = 6(1 + -1y) + -2 Remove parenthesis around (3 + 3y) -3[3 + 3y + -1(8y + -8)] = 6(1 + -1y) + -2 Reorder the terms: -3[3 + 3y + -1(-8 + 8y)] = 6(1 + -1y) + -2 -3[3 + 3y + (-8 * -1 + 8y * -1)] = 6(1 + -1y) + -2 -3[3 + 3y + (8 + -8y)] = 6(1 + -1y) + -2 Reorder the terms: -3[3 + 8 + 3y + -8y] = 6(1 + -1y) + -2 Combine like terms: 3 + 8 = 11 -3[11 + 3y + -8y] = 6(1 + -1y) + -2 Combine like terms: 3y + -8y = -5y -3[11 + -5y] = 6(1 + -1y) + -2 [11 * -3 + -5y * -3] = 6(1 + -1y) + -2 [-33 + 15y] = 6(1 + -1y) + -2 -33 + 15y = (1 * 6 + -1y * 6) + -2 -33 + 15y = (6 + -6y) + -2 Reorder the terms: -33 + 15y = 6 + -2 + -6y Combine like terms: 6 + -2 = 4 -33 + 15y = 4 + -6y Solving -33 + 15y = 4 + -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. -33 + 15y + 6y = 4 + -6y + 6y Combine like terms: 15y + 6y = 21y -33 + 21y = 4 + -6y + 6y Combine like terms: -6y + 6y = 0 -33 + 21y = 4 + 0 -33 + 21y = 4 Add '33' to each side of the equation. -33 + 33 + 21y = 4 + 33 Combine like terms: -33 + 33 = 0 0 + 21y = 4 + 33 21y = 4 + 33 Combine like terms: 4 + 33 = 37 21y = 37 Divide each side by '21'. y = 1.761904762 Simplifying y = 1.761904762
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