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Simplifying -5y + 11 = -2(4y + 8) Reorder the terms: 11 + -5y = -2(4y + 8) Reorder the terms: 11 + -5y = -2(8 + 4y) 11 + -5y = (8 * -2 + 4y * -2) 11 + -5y = (-16 + -8y) Solving 11 + -5y = -16 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 11 + -5y + 8y = -16 + -8y + 8y Combine like terms: -5y + 8y = 3y 11 + 3y = -16 + -8y + 8y Combine like terms: -8y + 8y = 0 11 + 3y = -16 + 0 11 + 3y = -16 Add '-11' to each side of the equation. 11 + -11 + 3y = -16 + -11 Combine like terms: 11 + -11 = 0 0 + 3y = -16 + -11 3y = -16 + -11 Combine like terms: -16 + -11 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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