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Simplifying 24y + -12(7 + y) = 16 + -8y 24y + (7 * -12 + y * -12) = 16 + -8y 24y + (-84 + -12y) = 16 + -8y Reorder the terms: -84 + 24y + -12y = 16 + -8y Combine like terms: 24y + -12y = 12y -84 + 12y = 16 + -8y Solving -84 + 12y = 16 + -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. -84 + 12y + 8y = 16 + -8y + 8y Combine like terms: 12y + 8y = 20y -84 + 20y = 16 + -8y + 8y Combine like terms: -8y + 8y = 0 -84 + 20y = 16 + 0 -84 + 20y = 16 Add '84' to each side of the equation. -84 + 84 + 20y = 16 + 84 Combine like terms: -84 + 84 = 0 0 + 20y = 16 + 84 20y = 16 + 84 Combine like terms: 16 + 84 = 100 20y = 100 Divide each side by '20'. y = 5 Simplifying y = 5
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