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Simplifying 4(y + 2) = -4(y + -1) + -24 Reorder the terms: 4(2 + y) = -4(y + -1) + -24 (2 * 4 + y * 4) = -4(y + -1) + -24 (8 + 4y) = -4(y + -1) + -24 Reorder the terms: 8 + 4y = -4(-1 + y) + -24 8 + 4y = (-1 * -4 + y * -4) + -24 8 + 4y = (4 + -4y) + -24 Reorder the terms: 8 + 4y = 4 + -24 + -4y Combine like terms: 4 + -24 = -20 8 + 4y = -20 + -4y Solving 8 + 4y = -20 + -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. 8 + 4y + 4y = -20 + -4y + 4y Combine like terms: 4y + 4y = 8y 8 + 8y = -20 + -4y + 4y Combine like terms: -4y + 4y = 0 8 + 8y = -20 + 0 8 + 8y = -20 Add '-8' to each side of the equation. 8 + -8 + 8y = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 8y = -20 + -8 8y = -20 + -8 Combine like terms: -20 + -8 = -28 8y = -28 Divide each side by '8'. y = -3.5 Simplifying y = -3.5
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