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Simplifying 3(4y + 7) = -21(y + -1) + -231 Reorder the terms: 3(7 + 4y) = -21(y + -1) + -231 (7 * 3 + 4y * 3) = -21(y + -1) + -231 (21 + 12y) = -21(y + -1) + -231 Reorder the terms: 21 + 12y = -21(-1 + y) + -231 21 + 12y = (-1 * -21 + y * -21) + -231 21 + 12y = (21 + -21y) + -231 Reorder the terms: 21 + 12y = 21 + -231 + -21y Combine like terms: 21 + -231 = -210 21 + 12y = -210 + -21y Solving 21 + 12y = -210 + -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. 21 + 12y + 21y = -210 + -21y + 21y Combine like terms: 12y + 21y = 33y 21 + 33y = -210 + -21y + 21y Combine like terms: -21y + 21y = 0 21 + 33y = -210 + 0 21 + 33y = -210 Add '-21' to each side of the equation. 21 + -21 + 33y = -210 + -21 Combine like terms: 21 + -21 = 0 0 + 33y = -210 + -21 33y = -210 + -21 Combine like terms: -210 + -21 = -231 33y = -231 Divide each side by '33'. y = -7 Simplifying y = -7
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