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Simplifying -4y + -7(8y + 9) = -2 + 6(-4 + -1y) Reorder the terms: -4y + -7(9 + 8y) = -2 + 6(-4 + -1y) -4y + (9 * -7 + 8y * -7) = -2 + 6(-4 + -1y) -4y + (-63 + -56y) = -2 + 6(-4 + -1y) Reorder the terms: -63 + -4y + -56y = -2 + 6(-4 + -1y) Combine like terms: -4y + -56y = -60y -63 + -60y = -2 + 6(-4 + -1y) -63 + -60y = -2 + (-4 * 6 + -1y * 6) -63 + -60y = -2 + (-24 + -6y) Combine like terms: -2 + -24 = -26 -63 + -60y = -26 + -6y Solving -63 + -60y = -26 + -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. -63 + -60y + 6y = -26 + -6y + 6y Combine like terms: -60y + 6y = -54y -63 + -54y = -26 + -6y + 6y Combine like terms: -6y + 6y = 0 -63 + -54y = -26 + 0 -63 + -54y = -26 Add '63' to each side of the equation. -63 + 63 + -54y = -26 + 63 Combine like terms: -63 + 63 = 0 0 + -54y = -26 + 63 -54y = -26 + 63 Combine like terms: -26 + 63 = 37 -54y = 37 Divide each side by '-54'. y = -0.6851851852 Simplifying y = -0.6851851852
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