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Simplifying 54 = -2(4y + 5) Reorder the terms: 54 = -2(5 + 4y) 54 = (5 * -2 + 4y * -2) 54 = (-10 + -8y) Solving 54 = -10 + -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. 54 + 8y = -10 + -8y + 8y Combine like terms: -8y + 8y = 0 54 + 8y = -10 + 0 54 + 8y = -10 Add '-54' to each side of the equation. 54 + -54 + 8y = -10 + -54 Combine like terms: 54 + -54 = 0 0 + 8y = -10 + -54 8y = -10 + -54 Combine like terms: -10 + -54 = -64 8y = -64 Divide each side by '8'. y = -8 Simplifying y = -8
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