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Simplifying 19 + -1(-1y + -5) = 2(y + 4) + -8(y + 4) Reorder the terms: 19 + -1(-5 + -1y) = 2(y + 4) + -8(y + 4) 19 + (-5 * -1 + -1y * -1) = 2(y + 4) + -8(y + 4) 19 + (5 + 1y) = 2(y + 4) + -8(y + 4) Combine like terms: 19 + 5 = 24 24 + 1y = 2(y + 4) + -8(y + 4) Reorder the terms: 24 + 1y = 2(4 + y) + -8(y + 4) 24 + 1y = (4 * 2 + y * 2) + -8(y + 4) 24 + 1y = (8 + 2y) + -8(y + 4) Reorder the terms: 24 + 1y = 8 + 2y + -8(4 + y) 24 + 1y = 8 + 2y + (4 * -8 + y * -8) 24 + 1y = 8 + 2y + (-32 + -8y) Reorder the terms: 24 + 1y = 8 + -32 + 2y + -8y Combine like terms: 8 + -32 = -24 24 + 1y = -24 + 2y + -8y Combine like terms: 2y + -8y = -6y 24 + 1y = -24 + -6y Solving 24 + 1y = -24 + -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. 24 + 1y + 6y = -24 + -6y + 6y Combine like terms: 1y + 6y = 7y 24 + 7y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 24 + 7y = -24 + 0 24 + 7y = -24 Add '-24' to each side of the equation. 24 + -24 + 7y = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 7y = -24 + -24 7y = -24 + -24 Combine like terms: -24 + -24 = -48 7y = -48 Divide each side by '7'. y = -6.857142857 Simplifying y = -6.857142857
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