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Simplifying 6y + -1(3 + -2y) = 3(7 + 2y) 6y + (3 * -1 + -2y * -1) = 3(7 + 2y) 6y + (-3 + 2y) = 3(7 + 2y) Reorder the terms: -3 + 6y + 2y = 3(7 + 2y) Combine like terms: 6y + 2y = 8y -3 + 8y = 3(7 + 2y) -3 + 8y = (7 * 3 + 2y * 3) -3 + 8y = (21 + 6y) Solving -3 + 8y = 21 + 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. -3 + 8y + -6y = 21 + 6y + -6y Combine like terms: 8y + -6y = 2y -3 + 2y = 21 + 6y + -6y Combine like terms: 6y + -6y = 0 -3 + 2y = 21 + 0 -3 + 2y = 21 Add '3' to each side of the equation. -3 + 3 + 2y = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = 21 + 3 2y = 21 + 3 Combine like terms: 21 + 3 = 24 2y = 24 Divide each side by '2'. y = 12 Simplifying y = 12
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