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Simplifying 12y + -4y = 6(y + 12) Combine like terms: 12y + -4y = 8y 8y = 6(y + 12) Reorder the terms: 8y = 6(12 + y) 8y = (12 * 6 + y * 6) 8y = (72 + 6y) Solving 8y = 72 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 8y + -6y = 72 + 6y + -6y Combine like terms: 8y + -6y = 2y 2y = 72 + 6y + -6y Combine like terms: 6y + -6y = 0 2y = 72 + 0 2y = 72 Divide each side by '2'. y = 36 Simplifying y = 36
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