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Simplifying 6[y + 7] = 3y Reorder the terms: 6[7 + y] = 3y [7 * 6 + y * 6] = 3y [42 + 6y] = 3y Solving 42 + 6y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 42 + 6y + -3y = 3y + -3y Combine like terms: 6y + -3y = 3y 42 + 3y = 3y + -3y Combine like terms: 3y + -3y = 0 42 + 3y = 0 Add '-42' to each side of the equation. 42 + -42 + 3y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 3y = 0 + -42 3y = 0 + -42 Combine like terms: 0 + -42 = -42 3y = -42 Divide each side by '3'. y = -14 Simplifying y = -14
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