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Simplifying 7(y + 2) + -4 = 6 + 3y Reorder the terms: 7(2 + y) + -4 = 6 + 3y (2 * 7 + y * 7) + -4 = 6 + 3y (14 + 7y) + -4 = 6 + 3y Reorder the terms: 14 + -4 + 7y = 6 + 3y Combine like terms: 14 + -4 = 10 10 + 7y = 6 + 3y Solving 10 + 7y = 6 + 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. 10 + 7y + -3y = 6 + 3y + -3y Combine like terms: 7y + -3y = 4y 10 + 4y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + 4y = 6 + 0 10 + 4y = 6 Add '-10' to each side of the equation. 10 + -10 + 4y = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 4y = 6 + -10 4y = 6 + -10 Combine like terms: 6 + -10 = -4 4y = -4 Divide each side by '4'. y = -1 Simplifying y = -1
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