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Simplifying 6y + 3(1 + -1y) = 7(y + 2) + -3y 6y + (1 * 3 + -1y * 3) = 7(y + 2) + -3y 6y + (3 + -3y) = 7(y + 2) + -3y Reorder the terms: 3 + 6y + -3y = 7(y + 2) + -3y Combine like terms: 6y + -3y = 3y 3 + 3y = 7(y + 2) + -3y Reorder the terms: 3 + 3y = 7(2 + y) + -3y 3 + 3y = (2 * 7 + y * 7) + -3y 3 + 3y = (14 + 7y) + -3y Combine like terms: 7y + -3y = 4y 3 + 3y = 14 + 4y Solving 3 + 3y = 14 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 3 + 3y + -4y = 14 + 4y + -4y Combine like terms: 3y + -4y = -1y 3 + -1y = 14 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + -1y = 14 + 0 3 + -1y = 14 Add '-3' to each side of the equation. 3 + -3 + -1y = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 14 + -3 -1y = 14 + -3 Combine like terms: 14 + -3 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11
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