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Simplifying 3(1 + -3y) = 2(y + 7) (1 * 3 + -3y * 3) = 2(y + 7) (3 + -9y) = 2(y + 7) Reorder the terms: 3 + -9y = 2(7 + y) 3 + -9y = (7 * 2 + y * 2) 3 + -9y = (14 + 2y) Solving 3 + -9y = 14 + 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. 3 + -9y + -2y = 14 + 2y + -2y Combine like terms: -9y + -2y = -11y 3 + -11y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + -11y = 14 + 0 3 + -11y = 14 Add '-3' to each side of the equation. 3 + -3 + -11y = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -11y = 14 + -3 -11y = 14 + -3 Combine like terms: 14 + -3 = 11 -11y = 11 Divide each side by '-11'. y = -1 Simplifying y = -1
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