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Simplifying 3(y + 1) = 4y + -21 Reorder the terms: 3(1 + y) = 4y + -21 (1 * 3 + y * 3) = 4y + -21 (3 + 3y) = 4y + -21 Reorder the terms: 3 + 3y = -21 + 4y Solving 3 + 3y = -21 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 3 + 3y + -4y = -21 + 4y + -4y Combine like terms: 3y + -4y = -1y 3 + -1y = -21 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + -1y = -21 + 0 3 + -1y = -21 Add '-3' to each side of the equation. 3 + -3 + -1y = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = -21 + -3 -1y = -21 + -3 Combine like terms: -21 + -3 = -24 -1y = -24 Divide each side by '-1'. y = 24 Simplifying y = 24
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