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Simplifying -1 + -1[3y + 4 + -1(3 + 5y)] = -3y + 2(-2y + 8) -1 + -1[3y + 4 + (3 * -1 + 5y * -1)] = -3y + 2(-2y + 8) -1 + -1[3y + 4 + (-3 + -5y)] = -3y + 2(-2y + 8) Reorder the terms: -1 + -1[4 + -3 + 3y + -5y] = -3y + 2(-2y + 8) Combine like terms: 4 + -3 = 1 -1 + -1[1 + 3y + -5y] = -3y + 2(-2y + 8) Combine like terms: 3y + -5y = -2y -1 + -1[1 + -2y] = -3y + 2(-2y + 8) -1 + [1 * -1 + -2y * -1] = -3y + 2(-2y + 8) -1 + [-1 + 2y] = -3y + 2(-2y + 8) Combine like terms: -1 + -1 = -2 -2 + 2y = -3y + 2(-2y + 8) Reorder the terms: -2 + 2y = -3y + 2(8 + -2y) -2 + 2y = -3y + (8 * 2 + -2y * 2) -2 + 2y = -3y + (16 + -4y) Reorder the terms: -2 + 2y = 16 + -3y + -4y Combine like terms: -3y + -4y = -7y -2 + 2y = 16 + -7y Solving -2 + 2y = 16 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -2 + 2y + 7y = 16 + -7y + 7y Combine like terms: 2y + 7y = 9y -2 + 9y = 16 + -7y + 7y Combine like terms: -7y + 7y = 0 -2 + 9y = 16 + 0 -2 + 9y = 16 Add '2' to each side of the equation. -2 + 2 + 9y = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 9y = 16 + 2 9y = 16 + 2 Combine like terms: 16 + 2 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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