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Simplifying -5y + 4(y + 7) = -8 + -6(6 + -1y) Reorder the terms: -5y + 4(7 + y) = -8 + -6(6 + -1y) -5y + (7 * 4 + y * 4) = -8 + -6(6 + -1y) -5y + (28 + 4y) = -8 + -6(6 + -1y) Reorder the terms: 28 + -5y + 4y = -8 + -6(6 + -1y) Combine like terms: -5y + 4y = -1y 28 + -1y = -8 + -6(6 + -1y) 28 + -1y = -8 + (6 * -6 + -1y * -6) 28 + -1y = -8 + (-36 + 6y) Combine like terms: -8 + -36 = -44 28 + -1y = -44 + 6y Solving 28 + -1y = -44 + 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. 28 + -1y + -6y = -44 + 6y + -6y Combine like terms: -1y + -6y = -7y 28 + -7y = -44 + 6y + -6y Combine like terms: 6y + -6y = 0 28 + -7y = -44 + 0 28 + -7y = -44 Add '-28' to each side of the equation. 28 + -28 + -7y = -44 + -28 Combine like terms: 28 + -28 = 0 0 + -7y = -44 + -28 -7y = -44 + -28 Combine like terms: -44 + -28 = -72 -7y = -72 Divide each side by '-7'. y = 10.28571429 Simplifying y = 10.28571429
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