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Simplifying 3(y + 7) = 2(y + -9) + -1y Reorder the terms: 3(7 + y) = 2(y + -9) + -1y (7 * 3 + y * 3) = 2(y + -9) + -1y (21 + 3y) = 2(y + -9) + -1y Reorder the terms: 21 + 3y = 2(-9 + y) + -1y 21 + 3y = (-9 * 2 + y * 2) + -1y 21 + 3y = (-18 + 2y) + -1y Combine like terms: 2y + -1y = 1y 21 + 3y = -18 + 1y Solving 21 + 3y = -18 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 21 + 3y + -1y = -18 + 1y + -1y Combine like terms: 3y + -1y = 2y 21 + 2y = -18 + 1y + -1y Combine like terms: 1y + -1y = 0 21 + 2y = -18 + 0 21 + 2y = -18 Add '-21' to each side of the equation. 21 + -21 + 2y = -18 + -21 Combine like terms: 21 + -21 = 0 0 + 2y = -18 + -21 2y = -18 + -21 Combine like terms: -18 + -21 = -39 2y = -39 Divide each side by '2'. y = -19.5 Simplifying y = -19.5
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