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Simplifying 5y + 8 = -4(2y + 1) Reorder the terms: 8 + 5y = -4(2y + 1) Reorder the terms: 8 + 5y = -4(1 + 2y) 8 + 5y = (1 * -4 + 2y * -4) 8 + 5y = (-4 + -8y) Solving 8 + 5y = -4 + -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. 8 + 5y + 8y = -4 + -8y + 8y Combine like terms: 5y + 8y = 13y 8 + 13y = -4 + -8y + 8y Combine like terms: -8y + 8y = 0 8 + 13y = -4 + 0 8 + 13y = -4 Add '-8' to each side of the equation. 8 + -8 + 13y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 13y = -4 + -8 13y = -4 + -8 Combine like terms: -4 + -8 = -12 13y = -12 Divide each side by '13'. y = -0.9230769231 Simplifying y = -0.9230769231
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