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Simplifying 12 = 5(y + 4) + -7y Reorder the terms: 12 = 5(4 + y) + -7y 12 = (4 * 5 + y * 5) + -7y 12 = (20 + 5y) + -7y Combine like terms: 5y + -7y = -2y 12 = 20 + -2y Solving 12 = 20 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 12 + 2y = 20 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 2y = 20 + 0 12 + 2y = 20 Add '-12' to each side of the equation. 12 + -12 + 2y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 20 + -12 2y = 20 + -12 Combine like terms: 20 + -12 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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