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Simplifying -4(y + 6) = 4y + 16 Reorder the terms: -4(6 + y) = 4y + 16 (6 * -4 + y * -4) = 4y + 16 (-24 + -4y) = 4y + 16 Reorder the terms: -24 + -4y = 16 + 4y Solving -24 + -4y = 16 + 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. -24 + -4y + -4y = 16 + 4y + -4y Combine like terms: -4y + -4y = -8y -24 + -8y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 -24 + -8y = 16 + 0 -24 + -8y = 16 Add '24' to each side of the equation. -24 + 24 + -8y = 16 + 24 Combine like terms: -24 + 24 = 0 0 + -8y = 16 + 24 -8y = 16 + 24 Combine like terms: 16 + 24 = 40 -8y = 40 Divide each side by '-8'. y = -5 Simplifying y = -5
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