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Simplifying 6(y + 8) + -1y = 2(4 + -1y) Reorder the terms: 6(8 + y) + -1y = 2(4 + -1y) (8 * 6 + y * 6) + -1y = 2(4 + -1y) (48 + 6y) + -1y = 2(4 + -1y) Combine like terms: 6y + -1y = 5y 48 + 5y = 2(4 + -1y) 48 + 5y = (4 * 2 + -1y * 2) 48 + 5y = (8 + -2y) Solving 48 + 5y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 48 + 5y + 2y = 8 + -2y + 2y Combine like terms: 5y + 2y = 7y 48 + 7y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 48 + 7y = 8 + 0 48 + 7y = 8 Add '-48' to each side of the equation. 48 + -48 + 7y = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 7y = 8 + -48 7y = 8 + -48 Combine like terms: 8 + -48 = -40 7y = -40 Divide each side by '7'. y = -5.714285714 Simplifying y = -5.714285714
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