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Simplifying 8(y + 5) = -4y + 4 Reorder the terms: 8(5 + y) = -4y + 4 (5 * 8 + y * 8) = -4y + 4 (40 + 8y) = -4y + 4 Reorder the terms: 40 + 8y = 4 + -4y Solving 40 + 8y = 4 + -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. 40 + 8y + 4y = 4 + -4y + 4y Combine like terms: 8y + 4y = 12y 40 + 12y = 4 + -4y + 4y Combine like terms: -4y + 4y = 0 40 + 12y = 4 + 0 40 + 12y = 4 Add '-40' to each side of the equation. 40 + -40 + 12y = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 12y = 4 + -40 12y = 4 + -40 Combine like terms: 4 + -40 = -36 12y = -36 Divide each side by '12'. y = -3 Simplifying y = -3
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