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Simplifying 8 = 4(y + 6) + -8y Reorder the terms: 8 = 4(6 + y) + -8y 8 = (6 * 4 + y * 4) + -8y 8 = (24 + 4y) + -8y Combine like terms: 4y + -8y = -4y 8 = 24 + -4y Solving 8 = 24 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 8 + 4y = 24 + -4y + 4y Combine like terms: -4y + 4y = 0 8 + 4y = 24 + 0 8 + 4y = 24 Add '-8' to each side of the equation. 8 + -8 + 4y = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = 24 + -8 4y = 24 + -8 Combine like terms: 24 + -8 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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