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Simplifying 3(3y + 7) = 7 + -2(y + -7) Reorder the terms: 3(7 + 3y) = 7 + -2(y + -7) (7 * 3 + 3y * 3) = 7 + -2(y + -7) (21 + 9y) = 7 + -2(y + -7) Reorder the terms: 21 + 9y = 7 + -2(-7 + y) 21 + 9y = 7 + (-7 * -2 + y * -2) 21 + 9y = 7 + (14 + -2y) Combine like terms: 7 + 14 = 21 21 + 9y = 21 + -2y Add '-21' to each side of the equation. 21 + -21 + 9y = 21 + -21 + -2y Combine like terms: 21 + -21 = 0 0 + 9y = 21 + -21 + -2y 9y = 21 + -21 + -2y Combine like terms: 21 + -21 = 0 9y = 0 + -2y 9y = -2y Solving 9y = -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. 9y + 2y = -2y + 2y Combine like terms: 9y + 2y = 11y 11y = -2y + 2y Combine like terms: -2y + 2y = 0 11y = 0 Divide each side by '11'. y = 0 Simplifying y = 0
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