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Simplifying 7y + 7(3 + -1y) = 2y + -9 7y + (3 * 7 + -1y * 7) = 2y + -9 7y + (21 + -7y) = 2y + -9 Reorder the terms: 21 + 7y + -7y = 2y + -9 Combine like terms: 7y + -7y = 0 21 + 0 = 2y + -9 21 = 2y + -9 Reorder the terms: 21 = -9 + 2y Solving 21 = -9 + 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. 21 + -2y = -9 + 2y + -2y Combine like terms: 2y + -2y = 0 21 + -2y = -9 + 0 21 + -2y = -9 Add '-21' to each side of the equation. 21 + -21 + -2y = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -2y = -9 + -21 -2y = -9 + -21 Combine like terms: -9 + -21 = -30 -2y = -30 Divide each side by '-2'. y = 15 Simplifying y = 15
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