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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 = 13y 11 + 13y = -16 + -8y + 8y Combine like terms: -8y + 8y = 0 11 + 13y = -16 + 0 11 + 13y = -16 Add '-11' to each side of the equation. 11 + -11 + 13y = -16 + -11 Combine like terms: 11 + -11 = 0 0 + 13y = -16 + -11 13y = -16 + -11 Combine like terms: -16 + -11 = -27 13y = -27 Divide each side by '13'. y = -2.076923077 Simplifying y = -2.076923077
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