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Simplifying 6(y + -2) + -1(4y + 2) + -7(8y + -4) = 0 Reorder the terms: 6(-2 + y) + -1(4y + 2) + -7(8y + -4) = 0 (-2 * 6 + y * 6) + -1(4y + 2) + -7(8y + -4) = 0 (-12 + 6y) + -1(4y + 2) + -7(8y + -4) = 0 Reorder the terms: -12 + 6y + -1(2 + 4y) + -7(8y + -4) = 0 -12 + 6y + (2 * -1 + 4y * -1) + -7(8y + -4) = 0 -12 + 6y + (-2 + -4y) + -7(8y + -4) = 0 Reorder the terms: -12 + 6y + -2 + -4y + -7(-4 + 8y) = 0 -12 + 6y + -2 + -4y + (-4 * -7 + 8y * -7) = 0 -12 + 6y + -2 + -4y + (28 + -56y) = 0 Reorder the terms: -12 + -2 + 28 + 6y + -4y + -56y = 0 Combine like terms: -12 + -2 = -14 -14 + 28 + 6y + -4y + -56y = 0 Combine like terms: -14 + 28 = 14 14 + 6y + -4y + -56y = 0 Combine like terms: 6y + -4y = 2y 14 + 2y + -56y = 0 Combine like terms: 2y + -56y = -54y 14 + -54y = 0 Solving 14 + -54y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -54y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -54y = 0 + -14 -54y = 0 + -14 Combine like terms: 0 + -14 = -14 -54y = -14 Divide each side by '-54'. y = 0.2592592593 Simplifying y = 0.2592592593
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