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Simplifying 7(y + 4) = 3y + -8 Reorder the terms: 7(4 + y) = 3y + -8 (4 * 7 + y * 7) = 3y + -8 (28 + 7y) = 3y + -8 Reorder the terms: 28 + 7y = -8 + 3y Solving 28 + 7y = -8 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 28 + 7y + -3y = -8 + 3y + -3y Combine like terms: 7y + -3y = 4y 28 + 4y = -8 + 3y + -3y Combine like terms: 3y + -3y = 0 28 + 4y = -8 + 0 28 + 4y = -8 Add '-28' to each side of the equation. 28 + -28 + 4y = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 4y = -8 + -28 4y = -8 + -28 Combine like terms: -8 + -28 = -36 4y = -36 Divide each side by '4'. y = -9 Simplifying y = -9
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