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Simplifying -3[7y + -1(2y + -3)] = 2 Reorder the terms: -3[7y + -1(-3 + 2y)] = 2 -3[7y + (-3 * -1 + 2y * -1)] = 2 -3[7y + (3 + -2y)] = 2 Reorder the terms: -3[3 + 7y + -2y] = 2 Combine like terms: 7y + -2y = 5y -3[3 + 5y] = 2 [3 * -3 + 5y * -3] = 2 [-9 + -15y] = 2 Solving -9 + -15y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -15y = 2 + 9 Combine like terms: -9 + 9 = 0 0 + -15y = 2 + 9 -15y = 2 + 9 Combine like terms: 2 + 9 = 11 -15y = 11 Divide each side by '-15'. y = -0.7333333333 Simplifying y = -0.7333333333
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