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Simplifying 8[3y + -2(y + -1)] + -5 + 7y = 0 Reorder the terms: 8[3y + -2(-1 + y)] + -5 + 7y = 0 8[3y + (-1 * -2 + y * -2)] + -5 + 7y = 0 8[3y + (2 + -2y)] + -5 + 7y = 0 Reorder the terms: 8[2 + 3y + -2y] + -5 + 7y = 0 Combine like terms: 3y + -2y = 1y 8[2 + 1y] + -5 + 7y = 0 [2 * 8 + 1y * 8] + -5 + 7y = 0 [16 + 8y] + -5 + 7y = 0 Reorder the terms: 16 + -5 + 8y + 7y = 0 Combine like terms: 16 + -5 = 11 11 + 8y + 7y = 0 Combine like terms: 8y + 7y = 15y 11 + 15y = 0 Solving 11 + 15y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 15y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 15y = 0 + -11 15y = 0 + -11 Combine like terms: 0 + -11 = -11 15y = -11 Divide each side by '15'. y = -0.7333333333 Simplifying y = -0.7333333333
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