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Simplifying -8 + -2(-1y + -7) = 6(5y + -4) + 3 Reorder the terms: -8 + -2(-7 + -1y) = 6(5y + -4) + 3 -8 + (-7 * -2 + -1y * -2) = 6(5y + -4) + 3 -8 + (14 + 2y) = 6(5y + -4) + 3 Combine like terms: -8 + 14 = 6 6 + 2y = 6(5y + -4) + 3 Reorder the terms: 6 + 2y = 6(-4 + 5y) + 3 6 + 2y = (-4 * 6 + 5y * 6) + 3 6 + 2y = (-24 + 30y) + 3 Reorder the terms: 6 + 2y = -24 + 3 + 30y Combine like terms: -24 + 3 = -21 6 + 2y = -21 + 30y Solving 6 + 2y = -21 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. 6 + 2y + -30y = -21 + 30y + -30y Combine like terms: 2y + -30y = -28y 6 + -28y = -21 + 30y + -30y Combine like terms: 30y + -30y = 0 6 + -28y = -21 + 0 6 + -28y = -21 Add '-6' to each side of the equation. 6 + -6 + -28y = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -28y = -21 + -6 -28y = -21 + -6 Combine like terms: -21 + -6 = -27 -28y = -27 Divide each side by '-28'. y = 0.9642857143 Simplifying y = 0.9642857143
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