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Simplifying 4(y + 6) = 8y + 48 Reorder the terms: 4(6 + y) = 8y + 48 (6 * 4 + y * 4) = 8y + 48 (24 + 4y) = 8y + 48 Reorder the terms: 24 + 4y = 48 + 8y Solving 24 + 4y = 48 + 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. 24 + 4y + -8y = 48 + 8y + -8y Combine like terms: 4y + -8y = -4y 24 + -4y = 48 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + -4y = 48 + 0 24 + -4y = 48 Add '-24' to each side of the equation. 24 + -24 + -4y = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -4y = 48 + -24 -4y = 48 + -24 Combine like terms: 48 + -24 = 24 -4y = 24 Divide each side by '-4'. y = -6 Simplifying y = -6
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